Description : Evaluate: `int1/(cos(x-a)cos(x-b)) dx`
Last Answer : Evaluate: `int1/(cos(x-a)cos(x-b)) dx`
Description : Evaluate : `int1/(1+cos tx)dx`
Last Answer : Evaluate : `int1/(1+cos tx)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: (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: (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: `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: `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) `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 : `intsec^(6//5) x. "cosec"^(4//5) x dx`
Last Answer : `intsec^(6//5) x. "cosec"^(4//5) x dx`
Description : `intsec^(4) x dx`
Last Answer : `intsec^(4) x 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 : `intsec^(2) (1-5x) dx`
Last Answer : `intsec^(2) (1-5x) 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 : `(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 : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`
Last Answer : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`
Description : `(i) int (e^(x) .(1-x))/(x^(2))dx` `(ii) int ((1+sin x)/(1+cos x))e^(x) dx`
Last Answer : `(i) int (e^(x) .(1-x))/(x^(2))dx` `(ii) int ((1+sin x)/(1+cos x))e^(x) dx`
Description : `(i) int e^(x). "[log (sec x+tan x) + sec x dx "` `(ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx`
Last Answer : `(i) int e^(x). "[log (sec x+tan x) + sec x dx "` `(ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx`
Description : `(i) int x^(2) " cos x dx " " "(ii) int x^(2) e^(3x) " dx "`
Last Answer : `(i) int x^(2) " cos x dx " " "(ii) int x^(2) e^(3x) " 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) int (cos x-x sin x)/(x cos x) dx " "(ii) int(1+ cos x)/(x +sin x)^3 dx`
Last Answer : `(i) int (cos x-x sin x)/(x cos x) dx " "(ii) int(1+ cos x)/(x +sin x)^3 dx`
Description : `(i) int(1)/(sqrt(1-x^(2)).cos^(-1) x)dx` `(ii) int (sin(tan^(-1)x))/(1+x^(2))dx`
Last Answer : `(i) int(1)/(sqrt(1-x^(2)).cos^(-1) x)dx` `(ii) int (sin(tan^(-1)x))/(1+x^(2))dx`
Description : ` (i) int sqrt(1+ sin .(x)/(2)dx)` `(ii) int (1+cos 4x)/(cot x- tan x)dx`
Last Answer : ` (i) int sqrt(1+ sin .(x)/(2)dx)` `(ii) int (1+cos 4x)/(cot x- tan x)dx`
Description : `(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx`
Last Answer : `(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx`
Description : Evaluate: `int_1^2 1/((x+1)(x+2))dx` (ii) `int_1^2 1/(x(1+x^2))dx`
Last Answer : Evaluate: `int_1^2 1/((x+1)(x+2))dx` (ii) `int_1^2 1/(x(1+x^2))dx`
Description : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`
Last Answer : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) 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.