Description : `int e^(2x) " (tan x+1)"^(2) dx`
Last Answer : `int e^(2x) " (tan x+1)"^(2) 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(1)/((1+x^(2))tan ^(-1) x )dx " "(ii) int(e^(tan^(-1)x))/(1+x^(2))dx`
Last Answer : ` (i) int(1)/((1+x^(2))tan ^(-1) x )dx " "(ii) int(e^(tan^(-1)x))/(1+x^(2))dx`
Description : `int {1+2 tan x (tan x + sec x )}^(1//2) dx=?`
Last Answer : `int {1+2 tan x (tan x + sec x )}^(1//2) dx=?` A. `log {cosec x(sec x+tan x)}+c` B. `log {sec x (sec x+ tan x)} +c` C. None of the above D.
Description : `int(tan^(-1)x)/(1+x^(2)) dx=?`
Last Answer : `int(tan^(-1)x)/(1+x^(2)) dx=?` A. `(1)/(3) (tan^(-1) x)^(2)+c` B. `(tan^(-1) x)^(2) +c` C. `(tan^(-1) x)^(3) +c` D.
Description : ` int sec x tan x sqrt(sec^(2) x+1)dx`
Last Answer : ` int sec x tan x sqrt(sec^(2) x+1)dx`
Description : `int sec x tan x sqrt(tan^(2) x-4) dx`
Last Answer : `int sec x tan x sqrt(tan^(2) x-4) dx`
Description : `int " x tan"^(-1) " x dx "`
Last Answer : `int " x tan"^(-1) " x dx "`
Description : `int " sec (tan"^(_1)" x ) dx "`
Last Answer : `int " sec (tan"^(_1)" x ) dx "`
Description : `int(tan(1+log x))/(x) dx`
Last Answer : `int(tan(1+log x))/(x) 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(sec x* cosec x)/(log cot x) dx` (ii) `int tan^(4) x dx`
Last Answer : (i) `int(sec x* cosec x)/(log cot x) dx` (ii) `int tan^(4) x dx`
Description : `(i) int(tan^(-1))/((1+x^(2)))dx" "(ii) int(1)/(sqrt(1-x^(2)) sin^(-1)x)dx`
Last Answer : `(i) int(tan^(-1))/((1+x^(2)))dx" "(ii) int(1)/(sqrt(1-x^(2)) sin^(-1)x)dx`
Description : `int secx. log (sec x+ tan x ) dx `
Last Answer : `int secx. log (sec x+ tan x ) 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 : `int(tan x + cos x)^(2) dx `
Last Answer : `int(tan x + cos x)^(2) dx `
Description : `int(secx- tan x)/(sec x+ tan x) dx`
Last Answer : `int(secx- tan x)/(sec x+ tan x) dx`
Description : `int tan^(2)" x dx "`
Last Answer : `int tan^(2)" x dx "`
Description : `int_(0)^(pi//4) e^(x) (tan x+ sec^(2)x) dx`
Last Answer : `int_(0)^(pi//4) e^(x) (tan x+ sec^(2)x) dx`
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//4) tan x dx`
Last Answer : `int_(0)^(pi//4) tan x dx`
Description : The value of `inte^(tan^-1x) ((1+x+x^2)/(1+x^2))dx`
Last Answer : The value of `inte^(tan^-1x) ((1+x+x^2)/(1+x^2))dx`
Description : `intsqrt(1+2 tan x (tan x + sec x ) ) dx`
Last Answer : `intsqrt(1+2 tan x (tan x + sec x ) ) dx`
Description : `intx^(2) . tan^(2) x^(3). sec^(2) x^(3) dx`
Last Answer : `intx^(2) . tan^(2) x^(3). sec^(2) x^(3) dx`
Description : Evaluate: `int((x-1)e^x)/((x+1)^3)dx`
Last Answer : Evaluate: `int((x-1)e^x)/((x+1)^3)dx` A. `(e^(x))/((x+1)^(2))+c` B. `(e^(x))/((x+1)^(3))+c` C. `(e^(x))/((x+1)^(4))+c` D.
Description : `int (e^(x)dx)/(e^(2x)+4e^(x)+3)`
Last Answer : `int (e^(x)dx)/(e^(2x)+4e^(x)+3)`
Description : `int (dx)/(x(1+log_(e)x)(3+log_(e)x))`
Last Answer : `int (dx)/(x(1+log_(e)x)(3+log_(e)x))`
Description : `int (x-2)/(x^(3)).e^(x) dx`
Last Answer : `int (x-2)/(x^(3)).e^(x) 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 : `int e^x (logsin x + cot x)dx`
Last Answer : `int e^x (logsin x + cot x)dx`
Description : `int e^(x). " sin x( sin x+ 2 cos x) dx "`
Last Answer : `int e^(x). " sin x( sin x+ 2 cos x) dx "`
Description : `int e^(x). "(cot x- cosec"^(2)" x) dx "`
Last Answer : `int e^(x). "(cot x- cosec"^(2)" x) dx "`
Description : ` int e^(x). " cos"^(2) " x dx"`
Last Answer : ` int e^(x). " cos"^(2) " x dx"`
Description : `int e^(" sin x "). " sin 2x dx "`
Last Answer : `int e^(" sin x "). " sin 2x 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 : `int x^3 e^(x^2) dx` is equal to
Last Answer : `int x^3 e^(x^2) dx` is equal to
Description : `int " log"_(e) " x dx "`
Last Answer : `int " log"_(e) " x 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 : `int(x^(e-1)-e^(x-1))/(x^e-e^x)dx`
Last Answer : `int(x^(e-1)-e^(x-1))/(x^e-e^x)dx`
Description : `int(e^(x)+cos x)/(e^(x) +sin x) dx`
Last Answer : `int(e^(x)+cos x)/(e^(x) +sin x) dx`
Description : `int(e^(x) (1+x))/(sin^(2) (x e^(x)))dx`
Last Answer : `int(e^(x) (1+x))/(sin^(2) (x e^(x)))dx`
Description : `(i) int(e^(x))/(1+e^(x))dx" "(ii) int (e^(x)) /((1+e^(x))^(4))dx`
Last Answer : `(i) int(e^(x))/(1+e^(x))dx" "(ii) int (e^(x)) /((1+e^(x))^(4))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 : `int(1)/(x cos^(2)(log_(e)x))dx`
Last Answer : `int(1)/(x cos^(2)(log_(e)x))dx`
Description : `int((log _(e)x)^(3))/(x)dx`
Last Answer : `int((log _(e)x)^(3))/(x)dx`
Description : `int((3x-2)/(x)+e^(x)) dx`
Last Answer : `int((3x-2)/(x)+e^(x)) dx`
Description : `int (x^(6) -(1)/(x) +e^(x) +3)dx`
Last Answer : `int (x^(6) -(1)/(x) +e^(x) +3)dx`
Description : `int(1)/(e^(-x)) dx`
Last Answer : `int(1)/(e^(-x)) dx`
Description : `int (4x^(2) +x+1)/(x^(3) -1) dx=?`
Last Answer : `int (4x^(2) +x+1)/(x^(3) -1) dx=?` A. `log (x-1) -log (x^(3) -1) +c` B. `log (x^(3) -1) +log (x-1)+c` C. None of the above D.
Description : `int (x^(2))/((a+bx)^(2))dx=?`
Last Answer : `int (x^(2))/((a+bx)^(2))dx=?` A. `(-x^(2))/(b(a+bx))+(2)/(b^(2)) [x-(a)/(b) log (a+bx)]+c` ... ^(2)) [x-(a)/(b)log (a+bx)]+c` C. None of the above D.