Description : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Last Answer : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Description : Evaluate: (i) `intsecxlog(secx+tanx) dx` (ii) `intcos e c xlog(cos e c x-cotx) dx`
Last Answer : Evaluate: (i) `intsecxlog(secx+tanx) dx` (ii) `intcos e c xlog(cos e c x-cotx) dx`
Description : Evaluate: `int1/(cos(x-a)cos(x-b)) dx`
Last Answer : Evaluate: `int1/(cos(x-a)cos(x-b)) dx`
Description : Evaluate: (i) `int1/(x^2)cos^2(1/x) dx` (ii) `intsec^4xtanx dx`
Last Answer : Evaluate: (i) `int1/(x^2)cos^2(1/x) dx` (ii) `intsec^4xtanx dx`
Description : Evaluate : `int1/(1+cos tx)dx`
Last Answer : Evaluate : `int1/(1+cos tx)dx`
Description : `int1/(x^2+2x+5)dx`
Last Answer : `int1/(x^2+2x+5)dx`
Description : `int1/(1+3e^x+2e^(2x))dx`
Last Answer : `int1/(1+3e^x+2e^(2x))dx`
Description : Evaluate: `int1/(2x^2-x-1)dx`
Last Answer : Evaluate: `int1/(2x^2-x-1)dx`
Description : `" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?`
Last Answer : `" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?` A. `-(5pi)/(4)` B. `(pi)/(4)` C. `-(pi)/(4)` D.
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_(0)^(pi//4) (1)/(1+cos 2x)dx`
Last Answer : `int_(0)^(pi//4) (1)/(1+cos 2x)dx`
Description : `int_(0)^(pi//2) sqrt(1- cos 2x) dx`
Last Answer : `int_(0)^(pi//2) sqrt(1- cos 2x) dx`
Description : `int (2x-sin 2x)/(1-cos 2x) dx`
Last Answer : `int (2x-sin 2x)/(1-cos 2x) dx`
Description : `int e^(3x) " cos 2x dx "`
Last Answer : `int e^(3x) " cos 2x dx "`
Description : `int(1)/(sqrt(1+cos 2x))dx`
Last Answer : `int(1)/(sqrt(1+cos 2x))dx`
Description : `int(sin 2x)/(5-cos^(2) x)dx`
Last Answer : `int(sin 2x)/(5-cos^(2) x)dx`
Description : `int" cos"^(4) " 2x dx "`
Last Answer : `int" cos"^(4) " 2x dx "`
Description : `int cos 2x . cos 4x . cos 6x dx`
Last Answer : `int cos 2x . cos 4x . cos 6x 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 cos 4x. cos 2x dx`
Last Answer : `int cos 4x. cos 2x dx`
Description : `int cos (2x +1) dx`
Last Answer : `int cos (2x +1) dx`
Description : `int(1+cos 2x)/(1-cos 2x)dx`
Last Answer : `int(1+cos 2x)/(1-cos 2x)dx`
Description : `intsqrt(1-cos 2x) dx`
Last Answer : `intsqrt(1-cos 2x) dx`
Description : `intsqrt(1+cos 2x) dx`
Last Answer : `intsqrt(1+cos 2x) dx`
Description : `int(1)/(1-cos 2x) dx`
Last Answer : `int(1)/(1-cos 2x) dx`
Description : `int(1)/( 1+cos 2x ) dx`
Last Answer : `int(1)/( 1+cos 2x ) dx`
Description : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is
Last Answer : The value of definite integral `int_(-pi)^(pi) (cos 2x. cos2^(2)x.cos2^(3)x.cos 2^(4)x.cos2^(5)x)dx` is A. 1 B. `-1` C. 0 D. 2
Description : Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx` A. `-(pi)/(sqrt(2))` B. `(pi)/(2)` C. `-(pi)/(2)` D.
Description : Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2`
Last Answer : Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2` A. `-pi log 2` B. `pi log 2` C. `(pi)/(2) log 2` D.
Description : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Description : `int(sec^(2)x)/(sqrt(tanx))dx`
Last Answer : `int(sec^(2)x)/(sqrt(tanx))dx`
Description : `int1/(x(x^n+1))dx`
Last Answer : `int1/(x(x^n+1))dx` A. `(1)/(n) log {x^(n) (x^(n) +1))} +c` B. `log ((x^(n))/(x^(n)+1)))+c` C. None of the above D.
Description : Evaluate: `int1/(x^4-1)dx`
Last Answer : Evaluate: `int1/(x^4-1)dx`
Description : Evaluate: `int1/(2+cosx) dx`
Last Answer : Evaluate: `int1/(2+cosx) dx`
Description : Evaluate: `int1/(13+3cosx+4sinx)dx`
Last Answer : Evaluate: `int1/(13+3cosx+4sinx)dx`
Description : Evaluate: `int1/(1+x+x^2+x^3)dx`
Last Answer : Evaluate: `int1/(1+x+x^2+x^3)dx`
Description : Evaluate: `int1/(x (x^4+1)) dx`
Last Answer : Evaluate: `int1/(x (x^4+1)) dx`
Description : Evaluate: `int1/(sinx(3+2cosx)dx`
Last Answer : Evaluate: `int1/(sinx(3+2cosx)dx`
Description : Evaluate: (i) `int1/(a^2-b^2 x^2) dx` (ii) `int1/(a^2 x^2-b^2) dx`
Last Answer : Evaluate: (i) `int1/(a^2-b^2 x^2) dx` (ii) `int1/(a^2 x^2-b^2) dx`
Description : Evaluate: `int1/(e^x+e^(-x)) dx`
Last Answer : Evaluate: `int1/(e^x+e^(-x)) dx`
Description : Evaluate: `int1/(sqrt(4x^2-9)) dx`
Last Answer : Evaluate: `int1/(sqrt(4x^2-9)) dx`
Description : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) dx`
Last Answer : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) dx`
Description : `int1/(x^2(x^4+1)^(3/4))dx`
Last Answer : `int1/(x^2(x^4+1)^(3/4))dx`
Description : Evaluate: `int1/(sin(x-a)sin(x-b)) dx`
Last Answer : Evaluate: `int1/(sin(x-a)sin(x-b)) dx`
Description : If tan x = b/a , then what is the value of a cos 2x + b sin 2x? -Maths 9th
Last Answer : answer:
Description : The angle A lies in the third quadrant and it satisfies the equation 4 (sin^2x + cos x) = 1. What is the measure of angle A? -Maths 9th
Description : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.
Last Answer : Find the maximum and minimum values of the function `f(x) = sin x + cos 2x`.