Description : `int(x^(2)+1)/(x^(4)-2x^(2)+1)dx`
Last Answer : `int(x^(2)+1)/(x^(4)-2x^(2)+1)dx`
Description : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`
Last Answer : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`
Description : `int(x+1)/(sqrt(2x^(2)+x-3))dx`
Last Answer : `int(x+1)/(sqrt(2x^(2)+x-3))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 : `int (e^(x)dx)/(e^(2x)+4e^(x)+3)`
Last Answer : `int (e^(x)dx)/(e^(2x)+4e^(x)+3)`
Description : `int(3x+1)/(2x^(2)+x-1)dx`
Last Answer : `int(3x+1)/(2x^(2)+x-1)dx`
Description : `int(1)/(2x^(2)+x+1)dx`
Last Answer : `int(1)/(2x^(2)+x+1)dx`
Description : `int (x)/(x^(2)+2x+1)dx`
Last Answer : `int (x)/(x^(2)+2x+1)dx`
Description : `int (2x+3)/((x+2)(x-2))dx`
Last Answer : `int (2x+3)/((x+2)(x-2))dx`
Description : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Last Answer : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Description : `int e^(2x) " (tan x+1)"^(2) dx`
Last Answer : `int e^(2x) " (tan x+1)"^(2) dx`
Description : `int e^(" sin x "). " sin 2x dx "`
Last Answer : `int e^(" sin x "). " sin 2x dx "`
Description : `(i) int " x sec"^(2) " 2x dx "" "(ii) int " x sin"^(3) " x dx "`
Last Answer : `(i) int " x sec"^(2) " 2x dx "" "(ii) int " x sin"^(3) " 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(sin 2x)/(5-cos^(2) x)dx`
Last Answer : `int(sin 2x)/(5-cos^(2) x)dx`
Description : `int(2x-1)/(sqrt(x^(2)-x-1))dx`
Last Answer : `int(2x-1)/(sqrt(x^(2)-x-1))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 (x^(2))/(1-2x^(3))dx`
Last Answer : `int (x^(2))/(1-2x^(3))dx`
Description : `(i) int sin 2x. cos5x dx " "(ii) int(sin 4x)/(sin x) dx`
Last Answer : `(i) int sin 2x. cos5x dx " "(ii) int(sin 4x)/(sin x) dx`
Description : `int (x^(2) +2x -5)/(sqrt(x))dx`
Last Answer : `int (x^(2) +2x -5)/(sqrt(x))dx`
Description : `int((x+1)(2x-3))/(x) dx`
Last Answer : `int((x+1)(2x-3))/(x) dx`
Description : If `int (x^(2020)+x^(804)+x^(402))(2x^(1608)+5x^(402)+10)^(1//402)dx=(1)/(10a)(2x^(2010)+5x^(804)+10^(402))^(a//402)`. Then `(a-400)` is equal to ....
Last Answer : If `int (x^(2020)+x^(804)+x^(402))(2x^(1608)+5x^(402)+10)^(1//402)dx=(1)/(10a)(2x^(2010)+5x^(804)+ ... )^(a//402)`. Then `(a-400)` is equal to .......
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 (e^(2x)-1)/(e^(2x)+1) dx=?`
Last Answer : `int (e^(2x)-1)/(e^(2x)+1) dx=?` A. `log(1+e^(-2x))+c` B. `log (e^(x) -e^(-x)) +c` C. `log (e^(x)+e^(-x))+c` D.
Description : `int(1)/(sqrt(2x^(2)+3x-2))dx`
Last Answer : `int(1)/(sqrt(2x^(2)+3x-2))dx`
Description : `int(2x-1)/(2x^2+2x+1)dx`
Last Answer : `int(2x-1)/(2x^2+2x+1)dx`
Description : `int(4x-3)/(3x^2+2x-5)dx`
Last Answer : `int(4x-3)/(3x^2+2x-5)dx`
Description : `int(1)/(2x^(2)-4x+1)dx`
Last Answer : `int(1)/(2x^(2)-4x+1)dx`
Description : `int(1)/(2x^(2)+5x+3)dx`
Last Answer : `int(1)/(2x^(2)+5x+3)dx`
Description : `int (2x-sin 2x)/(1-cos 2x) dx`
Last Answer : `int (2x-sin 2x)/(1-cos 2x) dx`
Description : Evaluate `int e^(2x) sin 3x dx`.
Last Answer : Evaluate `int e^(2x) sin 3x dx`.
Description : `int e^(3x) " cos 2x dx "`
Last Answer : `int e^(3x) " cos 2x dx "`
Description : `int(1)/(sqrt(1+cos 2x))dx`
Last Answer : `int(1)/(sqrt(1+cos 2x))dx`
Description : `int" cos"^(4) " 2x dx "`
Last Answer : `int" cos"^(4) " 2x dx "`
Description : `int cos 2x . cos 4x . cos 6x dx`
Last Answer : `int cos 2x . cos 4x . cos 6x dx`
Description : `int " cosec"^(4) 2x dx`
Last Answer : `int " cosec"^(4) 2x dx`
Description : `int sqrt(2x-1) dx`
Last Answer : `int sqrt(2x-1) dx`
Description : `int cos 4x. cos 2x dx`
Last Answer : `int cos 4x. cos 2x dx`
Description : `int cos (2x +1) dx`
Last Answer : `int cos (2x +1) dx`
Description : `int(1+cos 2x)/(1-cos 2x)dx`
Last Answer : `int(1+cos 2x)/(1-cos 2x)dx`
Description : `int(1)/(1-cos 2x) dx`
Last Answer : `int(1)/(1-cos 2x) dx`
Description : `int(1)/( 1+cos 2x ) dx`
Last Answer : `int(1)/( 1+cos 2x ) 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.
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-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 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 {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.