Description : `int " log"_(e) " x dx "`
Last Answer : `int " log"_(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 : `int log (x^(2) +a^(2)) dx=?`
Last Answer : `int log (x^(2) +a^(2)) dx=?` A. `x log (x^(2)+a^(2)) -2x +2a tan^(-1).(x)/(a)+c` B. `x log ... 2x -2a tan^(-1) . (x)/(a) +c` C. None of the above D.
Description : `int " log sin x . sec"^(2) " x dx "`
Last Answer : `int " log sin x . sec"^(2) " x dx "`
Description : Evaluate : `int x^n log x dx.`
Last Answer : Evaluate : `int x^n log x dx.`
Description : `int(tan(1+log x))/(x) dx`
Last Answer : `int(tan(1+log x))/(x) 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) (log x. sin[1+(log x)^(2)])/(x) dx` `(ii) int(dx)/(x(1+log)^(n))`
Last Answer : `(i) (log x. sin[1+(log x)^(2)])/(x) dx` `(ii) int(dx)/(x(1+log)^(n))`
Description : `int(cos^(2) (log .x))/(x)dx`
Last Answer : `int(cos^(2) (log .x))/(x)dx`
Description : `int secx. log (sec x+ tan x ) dx `
Last Answer : `int secx. log (sec x+ tan x ) dx `
Description : Find `int[log(logx)+1/((logx)^2)]dx`
Last Answer : Find `int[log(logx)+1/((logx)^2)]dx`
Description : `int(cotx)/(log(sinx)dx`
Last Answer : `int(cotx)/(log(sinx)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^(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 : `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 : 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 : ` (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 : 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((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 : The Servlet Response interface enables a servlet to formulate a response for a client using the method ............... (A) void log(Exception e, String s) (B) void destroy() (C) int getServerPort() (D) void setContextType(String Type)
Last Answer : (D) void setContextType(String Type)
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.
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+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 : `"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"`
Last Answer : `"The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"` A. `(1+x^(4)) ^(1//4)+c` B. `(1-x^(-4))^(1//4) +c` C. `-(1+x^(-4))^(1//4)+c` 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 (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(sin(x-alpha)/(sin(x+alpha)) dx`
Last Answer : `int(sin(x-alpha)/(sin(x+alpha)) dx` A. `x cos 2alpha +sin 2alpha log| sin (x+alpha)|+c` B. `x cos ... log |sin (x+alpha)|+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 (x^(2))/(x^(2) +4) dx=?`
Last Answer : `int (x^(2))/(x^(2) +4) dx=?` A. `x+4 tan^(-1) ((x)/(2))+c` B. `x-2 tan^(-1) ((x)/(2))+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