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 : 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: `int(x^2-1)/(x^4+x^2+1) dx`
Last Answer : Evaluate: `int(x^2-1)/(x^4+x^2+1) dx`
Description : Evaluate: `int(x^2+4)/(x^4+16)dx`
Last Answer : Evaluate: `int(x^2+4)/(x^4+16)dx`
Description : Evaluate: `int(2x+5)/(sqrt(x^2+2x+5)) dx`
Last Answer : Evaluate: `int(2x+5)/(sqrt(x^2+2x+5)) dx`
Description : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`
Last Answer : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`
Description : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Last Answer : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Description : Evaluate: `int(x-5) sqrt(x^2+x) dx`
Last Answer : Evaluate: `int(x-5) sqrt(x^2+x) dx`
Description : Evaluate: `int(x+1)/(x^2+4x+5) dx`
Last Answer : Evaluate: `int(x+1)/(x^2+4x+5) dx`
Description : Evaluate: `int(x+1)/(x(1+xe^x)^2)dx`
Last Answer : Evaluate: `int(x+1)/(x(1+xe^x)^2)dx`
Description : Evaluate: `int(x^2+1)/(x^2-1) dx`
Last Answer : Evaluate: `int(x^2+1)/(x^2-1) dx`
Description : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Last Answer : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Description : Evaluate: `int(x+sinx)/(1+cosx) dx`
Last Answer : Evaluate: `int(x+sinx)/(1+cosx) dx`
Description : Evaluate: `int((xtan^(-1)x)/((1+x^2)^(3setminus2)) dx`
Last Answer : Evaluate: `int((xtan^(-1)x)/((1+x^2)^(3setminus2)) dx`
Description : Evaluate `int (xtan^(-1)x)/(1+x^2)^(3/2) dx`
Last Answer : Evaluate `int (xtan^(-1)x)/(1+x^2)^(3/2) dx`
Description : Evaluate `int sin^(-1)x dx`.
Last Answer : Evaluate `int sin^(-1)x dx`.
Description : Evaluate : `int x^n log x dx.`
Last Answer : Evaluate : `int x^n log x dx.`
Description : Evaluate: `int(sinx)/(sin(x-a)) dx`
Last Answer : Evaluate: `int(sinx)/(sin(x-a)) 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: `int(1+x+x^2)/(x^2(1+x)) dx`
Last Answer : Evaluate: `int(1+x+x^2)/(x^2(1+x)) dx`
Description : Evaluate `int e^(2x) sin 3x dx`.
Last Answer : Evaluate `int e^(2x) sin 3x dx`.
Description : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Description : Evaluate: `int{s in(logx)+cos(logx)}dx`
Last Answer : Evaluate: `int{s in(logx)+cos(logx)}dx`
Description : Evaluate `int(1)/(1+sinx)dx`.
Last Answer : Evaluate `int(1)/(1+sinx)dx`.
Description : Evaluate: `int(a x+b)^3dx`
Last Answer : Evaluate: `int(a x+b)^3dx`
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/(e^x+e^(-x)) dx`
Last Answer : Evaluate: `int1/(e^x+e^(-x)) dx`
Description : Evaluate: `inta/(b+c e^x)dx`
Last Answer : Evaluate: `inta/(b+c e^x)dx`
Description : `int (e^(m tan^(-1) x))/(1+x^(2)) dx=?`
Last Answer : `int (e^(m tan^(-1) x))/(1+x^(2)) dx=?` A. `(1)/(m) e^(m tan^(-1)x) +c` B. `e^(m tan^(-1)x) +c` C. None of these 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 e^(2x) " (tan x+1)"^(2) dx`
Last Answer : `int e^(2x) " (tan x+1)"^(2) dx`
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 : `(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 : `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 : `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 : ` (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(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 : `int(1)/(x cos^(2)(log_(e)x))dx`
Last Answer : `int(1)/(x cos^(2)(log_(e)x))dx`