Description : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Description : Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2`
Last Answer : Prove that: `int_0^(pi//2)log|tanx+cotx|dx=pi(log)_e2` A. `-pi log 2` B. `pi log 2` C. `(pi)/(2) log 2` 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 sinx/sin(3x) dx=`
Last Answer : `int sinx/sin(3x) dx=`
Description : `int(cosx)/((1+sinx)(2+sinx))dx`
Last Answer : `int(cosx)/((1+sinx)(2+sinx))dx`
Description : Evaluate: `int(x+sinx)/(1+cosx) dx`
Last Answer : Evaluate: `int(x+sinx)/(1+cosx) 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 : Evaluate `int(1)/(1+sinx)dx`.
Last Answer : Evaluate `int(1)/(1+sinx)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: `int(sinx)/(sin(x-a)) dx`
Last Answer : Evaluate: `int(sinx)/(sin(x-a)) dx`
Description : `int(cot x)/(1+sinx) dx`
Last Answer : `int(cot x)/(1+sinx) dx`
Description : `int(sinx)/(a+b cos x)dx`
Last Answer : `int(sinx)/(a+b cos x)dx`
Description : `int(sinx. cos x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx`
Last Answer : `int(sinx. cos x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)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 : `int(1)/(1-sinx) dx`
Last Answer : `int(1)/(1-sinx) dx`
Description : `int(sinx)/(1+sin x) dx`
Last Answer : `int(sinx)/(1+sin x) dx`
Description : Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx` A. `-(pi)/(sqrt(2))` B. `(pi)/(2)` C. `-(pi)/(2)` D.
Description : `intsqrt(cotx) dx`
Last Answer : `intsqrt(cotx) 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 : `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 : Find `int[log(logx)+1/((logx)^2)]dx`
Last Answer : Find `int[log(logx)+1/((logx)^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 : `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 " log"_(e) " x dx "`
Last Answer : `int " log"_(e) " 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 : `int((log _(e)x)^(3))/(x)dx`
Last Answer : `int((log _(e)x)^(3))/(x)dx`
Description : Write a value of `inte^x (sinx+cosx)dx`
Last Answer : Write a value of `inte^x (sinx+cosx)dx` A. `e^(x) cos x +c` B. ` -e^(x) sin x+ c` C. `-e^(x) cos x + c` D.
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: `int1/(sinx(3+2cosx)dx`
Last Answer : Evaluate: `int1/(sinx(3+2cosx)dx`
Description : `intx/((1+sinx))dx`
Last Answer : `intx/((1+sinx))dx`
Description : `intsqrt(1+sinx)dx`
Last Answer : `intsqrt(1+sinx)dx`
Description : 3(sinx-2) cos x/ 5-cos²x- 4sinx dx
Last Answer : Integrate: \( \int \frac{(3 \sin \phi-2) \cos \phi}{5-\cos ^{2} \phi-4 \sin \phi} d x \)
Description : Evaluate : `int_(pi/3)^(pi/4)(tanx+cotx)^2dx`
Last Answer : Evaluate : `int_(pi/3)^(pi/4)(tanx+cotx)^2dx`
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 : 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 {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 : `" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?`
Last Answer : `" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?` A. `-(5pi)/(4)` B. `(pi)/(4)` C. `-(pi)/(4)` 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.