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 : Evaluate: `int1/(x^4-1)dx`
Last Answer : Evaluate: `int1/(x^4-1)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/(2x^2-x-1)dx`
Last Answer : Evaluate: `int1/(2x^2-x-1)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/(sin(x-a)sin(x-b)) dx`
Last Answer : Evaluate: `int1/(sin(x-a)sin(x-b)) dx`
Description : `int1/(cos^2x(1-tanx)^2) dx`
Last Answer : `int1/(cos^2x(1-tanx)^2) 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/(sinx(3+2cosx)dx`
Last Answer : Evaluate: `int1/(sinx(3+2cosx)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 : Evaluate the following integral: `int_1^3(cos(logx))/x dx`
Last Answer : Evaluate the following integral: `int_1^3(cos(logx))/x 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: (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 : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`
Last Answer : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`
Description : Evaluate: `int{s in(logx)+cos(logx)}dx`
Last Answer : Evaluate: `int{s in(logx)+cos(logx)}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 : `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 : `int1/(x^2(x^4+1)^(3/4))dx`
Last Answer : `int1/(x^2(x^4+1)^(3/4))dx`
Description : Find dy/dx by implicit differentiation. y cos x = 5x2 + 2y2
Last Answer : Need Answer
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 (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 : `int (1)/(sqrt(sin^(3) x cos x))dx =?`
Last Answer : `int (1)/(sqrt(sin^(3) x cos x))dx =?` A. `-2sqrt(tan x) +c` B. `(2)/(sqrt(tan x)) +c` C. `(-2)/(sqrt(tan x)) +c` 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 (x)/( 1+cos x) dx=?`
Last Answer : `int (x)/( 1+cos x) dx=?` A. `x tan (x)/(2) + 2 log cos (x)/(2) + c` B. ` x tan (x)/(2) + 2 log sin (x)/(2)+c` C. None of the above D.
Description : `int sin^(3) x cos^(3) x dx =?`
Last Answer : `int sin^(3) x cos^(3) x dx =?` A. `(1)/(4) sin^(4) x + (1)/(6) sin^(6) x+c` B. `(1)/(4) cos^(4)x-(1)/(6) cos^(6) x+c` C. none of the above D.
Description : `int (1-cos x)/(1+cos x) dx=?`
Last Answer : `int (1-cos x)/(1+cos x) dx=?` A. `2 tan ((x)/(2))+ x+c` B. ` tan ((x)/(2)) + x+c` C. `tan ((x)/(2)) + 2x + c` D. none of these
Description : `int(sin x)/( sqrt(1+cos x))dx=?`
Last Answer : `int(sin x)/( sqrt(1+cos x))dx=?` A. `sqrt(1+cos x) +c` B. `-2sqrt(1+ cos x)+c` C. `2sqrt(1+ cos x) +c` D.
Description : `int (1)/(sin^(2) x cos^(2)x) dx=?`
Last Answer : `int (1)/(sin^(2) x cos^(2)x) dx=?` A. `tan x-cot x+c` B. `sec x+ cosec x+c` C. `sec x- cosec x+c` 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 (3-4 sin x)/(cos^(2) x) dx=?`
Last Answer : ` int (3-4 sin x)/(cos^(2) x) dx=?` A. `4 tan x +4 sec x+c` B. ` 3 tan x + 4 sec x+ c` C. ` 4 tan x +3 sec x+c` D.
Description : `int_(a)^(b)cos x dx`
Last Answer : `int_(a)^(b)cos 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)/(5+2 cos x)dx`
Last Answer : `int_(0)^(pi) (1)/(5+2 cos x)dx`
Description : `int_(0)^(pi//2) (1)/(4+3 cos x)dx`
Last Answer : `int_(0)^(pi//2) (1)/(4+3 cos x)dx`
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 : `int_(0)^(pi//2) (dx)/(4sin^(2) x + 5 cos^(2)x)`
Last Answer : `int_(0)^(pi//2) (dx)/(4sin^(2) x + 5 cos^(2)x)`
Description : `int_(0)^(pi//2) sin^(2) x cos ^(2) x dx`
Last Answer : `int_(0)^(pi//2) sin^(2) x cos ^(2) x dx`
Description : `int_(0)^(pi//2) (a cos^(2) x+b sin^(2) x) dx`
Last Answer : `int_(0)^(pi//2) (a cos^(2) x+b sin^(2) x) dx`
Description : ` int_(0)^(pi//6) cos x cos 3x dx`
Last Answer : ` int_(0)^(pi//6) cos x cos 3x dx`