Description : How do I integrate (sinx)^4 with limits 0 to pi?
Last Answer : answer:This should help you: https://en.wikipedia.org/wiki/List_of_trigonometric_identities#Power-reduction_formula If you still can’t figure it out on your own with this hint, I should be able to help you further, but I’m at work right now.
Description : If the sum of all the solutions of the equation `8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1` in `[0,pi]` is `k pi` then k is equal to
Last Answer : If the sum of all the solutions of the equation `8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1` in `[0,pi]` is `k pi` ... (20)/(9)` C. `(2)/(3)` D. `(13)/(9)`
Description : Let `S={xepsilon(-pi,pi):x!=0,+pi/2}`The sum of all distinct solutions of the equation `sqrt3secx+cosecx+2(tan x-cot x)=0` in the set S is equal to
Last Answer : Let `S={xepsilon(-pi,pi):x!=0,+pi/2}`The sum of all distinct solutions of the equation `sqrt3secx+cosecx+2(tan x- ... 2pi)/(9)` C. `0` D. `(5pi)/(9)`
Description : Let `-1/6 < theta < -pi/12` Suppose `alpha_1 and beta_1`, are the roots of the equation `x^2-2xsectheta + 1=0` and `alpha_2 and beta_2` are the
Last Answer : Let `-1/6 < theta < -pi/12` Suppose `alpha_1 and beta_1`, are the roots of the equation `x^2-2xsectheta ... )` B. `2sectheta` C. `-2tantheta` D. `0`
Description : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315]` is equal to `kpi`, then the value of
Last Answer : If the arithmetic mean of the roots of the equation `4cos^(3)x-4cos^(2)x-cos(pi+x)-1=0` in the interval `[0,315 ... is A. `10` B. `20` C. `50` D. `80`
Description : if the equation `sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0` is solved for positive roots, then in the increasing sequence of positive root
Last Answer : if the equation `sin (pi x^2) - sin(pi x^2 + 2 pi x) = 0` is solved for positive roots, then in the ... `1` D. third term is `(-1+sqrt(11))/(2)`
Description : The number of solution of `2cosx=|sinx|` where `x in [0.4pi]` is/are
Last Answer : The number of solution of `2cosx=|sinx|` where `x in [0.4pi]` is/are A. `2` B. `3` C. `4` D. `1`
Description : Solve the following inequations `(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0` `(iii) sinx+sqrt(3)cosx ge 1` `(iv) cos^(2)x+sinx le 2` `(v)
Last Answer : Solve the following inequations `(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0` `(iii) sinx+sqrt(3) ... ^(2)x+sinx le 2` `(v) tan^(2)x gt 3`
Description : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4`
Last Answer : Find the equation of the tangent to the curve `x=theta+sin theta ,y=1+cos theta` at `theta=pi/4` A. ` ... 1+sqrt2)x+(sqrt2-1) pi` D. None of the above
Description : Solve the following equation `(i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0`, `-(pi)/(2) lt theta lt (pi)/(2)` `(ii) sin7theta+sin4theta+sintheta=0`, `0 le
Last Answer : Solve the following equation `(i) 5cos2theta+2cos^(2)"(theta)/(2)+1=0`, `-(pi)/(2) lt theta ... iii) tantheta+sectheta=sqrt(3)`, `0 le theta le 2pi`
Description : `int (1-sinx )/ (1-cos x) dx=?`
Last Answer : `int (1-sinx )/ (1-cos x) dx=?` A. `cot .(x)/(2) -2 log sin .(x)/(2) +c` B. `-cot .(x)/(2) -2 log sin .(x)/(2) +c` C. None of the above D.
Description : Write a value of `inte^x (sinx+cosx)dx`
Last Answer : Write a value of `inte^x (sinx+cosx)dx` A. `e^(x) cos x +c` B. ` -e^(x) sin x+ c` C. `-e^(x) cos x + c` D.
Description : Evaluate: `int(x+sinx)/(1+cosx) dx`
Last Answer : Evaluate: `int(x+sinx)/(1+cosx) dx`
Description : `(i) int(sinx)/(sqrt(4+ cos^(2) x)) dx " "(ii) int(x^(2))/(sqrt(9+x^(6)))dx`
Last Answer : `(i) int(sinx)/(sqrt(4+ cos^(2) x)) dx " "(ii) int(x^(2))/(sqrt(9+x^(6)))dx`
Description : `(i)intsec^(7) x. sin x dx" "(ii) int(1)/(sinx. cos^(2) x)dx`
Last Answer : `(i)intsec^(7) x. sin x dx" "(ii) int(1)/(sinx. cos^(2) x)dx`
Description : Evaluate: `int(sinx)/(sin(x-a)) dx`
Last Answer : Evaluate: `int(sinx)/(sin(x-a)) dx`
Description : `int(cot x)/(1+sinx) dx`
Last Answer : `int(cot x)/(1+sinx) dx`
Description : `int(sinx)/(a+b cos x)dx`
Last Answer : `int(sinx)/(a+b cos x)dx`
Description : `int(sinx. cos x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx`
Last Answer : `int(sinx. cos x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx`
Description : Evaluate: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`
Last Answer : Evaluate: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`
Description : Evaluate: (i) `int(sinx)/(1+cos^2x) dx` (ii) `int(2x^3)/(4+x^8) dx`
Last Answer : Evaluate: (i) `int(sinx)/(1+cos^2x) dx` (ii) `int(2x^3)/(4+x^8) dx`
Description : `int(sinx)/(1+sin x) dx`
Last Answer : `int(sinx)/(1+sin x) dx`
Description : 3(sinx-2) cos x/ 5-cos²x- 4sinx dx
Last Answer : Integrate: \( \int \frac{(3 \sin \phi-2) \cos \phi}{5-\cos ^{2} \phi-4 \sin \phi} d x \)
Description : If `y=(sinx+cos e cx)^2+(cosx+secx)^2` , then the minimum value of `y ,AAx in R ,` 7 (b) 3 (c) 9 (d) 0
Last Answer : If `y=(sinx+cos e cx)^2+(cosx+secx)^2` , then the minimum value of `y ,AAx in R ,` 7 (b) 3 (c) 9 (d) 0 A. 7 B. 8 C. 9 D. 11
Description : Number of solution of `sinx cosx-3cosx+4sinx-13 gt 0` in `[0,2pi]` is equal to
Last Answer : Number of solution of `sinx cosx-3cosx+4sinx-13 gt 0` in `[0,2pi]` is equal to A. `0` B. `1` C. `2` D. `4`
Description : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is
Last Answer : The positive integer value of `n gt 3` satisfying the equation `(1)/(sin((pi)/(n)))=(1)/(sin((2pi)/(n)))+(1)/(sin((3pi)/(n)))` is
Description : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`
Last Answer : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`
Description : `int sinx/sin(3x) dx=`
Last Answer : `int sinx/sin(3x) dx=`
Description : Evaluate: `int1/(sinx(3+2cosx)dx`
Last Answer : Evaluate: `int1/(sinx(3+2cosx)dx`
Description : `int(cosx)/((1+sinx)(2+sinx))dx`
Last Answer : `int(cosx)/((1+sinx)(2+sinx))dx`
Description : `intx/((1+sinx))dx`
Last Answer : `intx/((1+sinx))dx`
Description : Evaluate `int(1)/(1+sinx)dx`.
Last Answer : Evaluate `int(1)/(1+sinx)dx`.
Description : `int(cotx)/(log(sinx)dx`
Last Answer : `int(cotx)/(log(sinx)dx`
Description : `intsqrt(1+sinx)dx`
Last Answer : `intsqrt(1+sinx)dx`
Description : `int(1)/(1-sinx) dx`
Last Answer : `int(1)/(1-sinx) dx`
Description : 26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve
Last Answer : 26. The points of contact of the tangents drawn from the origin to the curve y=sinx, lie on the curve A. `x^(2) ... x^(2)=x^(2)y^(2)` D. None of these
Description : The solution of `sqrt(5-2sinx) ge 6 sinx-1` is
Last Answer : The solution of `sqrt(5-2sinx) ge 6 sinx-1` is A. `[pi(12n-7)//6,pi(12n+7)//6] (n in Z)` B. `[pi(12n-7) ... D. `[pi(12n-7)//3,pi(12n+1)//3] (n in Z)`
Description : `int_(0)^(pi//2) " cosec "(x-(pi)/(3)) " cosec "(x-(pi)/(6)) dx=?`
Last Answer : `int_(0)^(pi//2) " cosec "(x-(pi)/(3)) " cosec "(x-(pi)/(6)) dx=?` A. `-log 3` B. `-2 log 3` C. `2 log 3` D.
Description : `int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x) dx=?`
Last Answer : `int_(0)^(pi//2) (sin x -cos x)/(1+sin x cos x) dx=?` A. `0` B. `1` C. None of the above D.
Description : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?`
Last Answer : `int_(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?` A. `(pi)/(2)` B. `pi` C. `2pi` D.
Description : `int_(0)^(pi//4) sqrt(cot x dx) =?`
Last Answer : `int_(0)^(pi//4) sqrt(cot x dx) =?` A. `(Pi sqrt(2))/(4)+(1)/(sqrt(2)) log (sqrt(2)-1)` B. `(- ... (pisqrt(2))/(4) -(1)/(sqrt(2))log (sqrt(2)-1)` D.
Description : `int_(0)^(pi//4) log (1+tan x) dx =?`
Last Answer : `int_(0)^(pi//4) log (1+tan x) dx =?` A. `(pi)/(4) log 2` B. `(pi)/(6) log 2` C. `(pi)/(8) log 2` D.
Description : `int_(0)^(pi//2) x sin cos x dx=?`
Last Answer : `int_(0)^(pi//2) x sin cos x dx=?` A. `(pi)/(4)` B. `(pi)/(8)` C. `(pi)/(12)` D.
Description : `int_(0)^(pi) x sin x. cos^(2) x dx`
Last Answer : `int_(0)^(pi) x sin x. cos^(2) x dx`
Description : `int_(0)^(pi//2) (dx)/(1+2 cos x)`
Last Answer : `int_(0)^(pi//2) (dx)/(1+2 cos x)`
Description : `int_(0)^(pi//2) x sin x cos x dx`
Last Answer : `int_(0)^(pi//2) x sin x cos x dx`
Description : `int_(0)^(pi) x sin^(2) x dx`
Last Answer : `int_(0)^(pi) x sin^(2) x dx`
Description : `int_(0)^(pi//2) e^(x) (sin x + cos x) dx`
Last Answer : `int_(0)^(pi//2) e^(x) (sin x + cos x) dx`
Description : `int_(0)^(pi) (1-x^(2))/((1+x^(2))^(2))dx`
Last Answer : `int_(0)^(pi) (1-x^(2))/((1+x^(2))^(2))dx`
Description : `int_(0)^(pi) (1)/(5+2 cos x)dx`
Last Answer : `int_(0)^(pi) (1)/(5+2 cos x)dx`