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 (2x-sin 2x)/(1-cos 2x) dx`
Last Answer : `int (2x-sin 2x)/(1-cos 2x) 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(sin 2x)/(5-cos^(2) x)dx`
Last Answer : `int(sin 2x)/(5-cos^(2) x)dx`
Description : `int cos 2x . cos 4x . cos 6x dx`
Last Answer : `int cos 2x . cos 4x . cos 6x 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 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 (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)/(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 (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
Description : `int(sin x)/( sqrt(1+cos x))dx=?`
Last Answer : `int(sin x)/( sqrt(1+cos x))dx=?` A. `sqrt(1+cos x) +c` B. `-2sqrt(1+ cos x)+c` C. `2sqrt(1+ cos x) +c` D.
Description : `int (1)/(sin^(2) x cos^(2)x) dx=?`
Last Answer : `int (1)/(sin^(2) x cos^(2)x) dx=?` A. `tan x-cot x+c` B. `sec x+ cosec x+c` C. `sec x- cosec x+c` D.
Description : ` int (3-4 sin x)/(cos^(2) x) dx=?`
Last Answer : ` int (3-4 sin x)/(cos^(2) x) dx=?` A. `4 tan x +4 sec x+c` B. ` 3 tan x + 4 sec x+ c` C. ` 4 tan x +3 sec x+c` D.
Description : `int(1)/(3+2 sin x +cos x)dx`
Last Answer : `int(1)/(3+2 sin x +cos x)dx`
Description : `int(1)/(5+2 cos x)dx`
Last Answer : `int(1)/(5+2 cos x)dx`
Description : `int(1)/((sin x-2 cos x) (2 sin x+c osx))dx`
Last Answer : `int(1)/((sin x-2 cos x) (2 sin x+c osx))dx`
Description : `int(1)/(sin x cos x + 2cos^(2)x)dx`
Last Answer : `int(1)/(sin x cos x + 2cos^(2)x)dx`
Description : `int(1)/(cos^(2) x-3 sin^(2) x)dx`
Last Answer : `int(1)/(cos^(2) x-3 sin^(2) x)dx`
Description : `int(1)/(sin^(2)x-4 cos^(2)x)dx`
Last Answer : `int(1)/(sin^(2)x-4 cos^(2)x)dx`
Description : `int(1)/(3sin^(2) x+4 cos^(2) x)dx`
Last Answer : `int(1)/(3sin^(2) x+4 cos^(2) x)dx`
Description : `int(1)/((asin x+b cos x)^(2))dx`
Last Answer : `int(1)/((asin x+b cos x)^(2))dx`
Description : `int(1)/((2 sin x + cos x)^(2))dx`
Last Answer : `int(1)/((2 sin x + cos x)^(2))dx`
Description : `int(1)/(1+3 cos^(2) x)dx`
Last Answer : `int(1)/(1+3 cos^(2) x)dx`
Description : `int (cosx)/(cos 3x)dx`
Last Answer : `int (cosx)/(cos 3x)dx`
Description : `int (1-cosx) /(cos x(1+cos x)) dx`
Last Answer : `int (1-cosx) /(cos x(1+cos x)) dx`
Description : Evaluate: `int{s in(logx)+cos(logx)}dx`
Last Answer : Evaluate: `int{s in(logx)+cos(logx)}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 : `(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). " cos"^(2) " x dx"`
Last Answer : ` int e^(x). " cos"^(2) " x 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 : `(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 : ` int(1)/(5+4 cos x)dx`
Last Answer : ` int(1)/(5+4 cos x)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 : `(i) int (cos x-x sin x)/(x cos x) dx " "(ii) int(1+ cos x)/(x +sin x)^3 dx`
Last Answer : `(i) int (cos x-x sin x)/(x cos x) dx " "(ii) int(1+ cos x)/(x +sin x)^3 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 : `int(e^(x)+cos x)/(e^(x) +sin x) dx`
Last Answer : `int(e^(x)+cos x)/(e^(x) +sin x) dx`
Description : `int(sinx)/(a+b cos x)dx`
Last Answer : `int(sinx)/(a+b cos x)dx`
Description : `int" cos"^(3)(3x +5) dx`
Last Answer : `int" cos"^(3)(3x +5) dx`
Description : `int sin^(2//3) x cos^(3) x dx`
Last Answer : `int sin^(2//3) x cos^(3) 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 : `int(cos^(2) (log .x))/(x)dx`
Last Answer : `int(cos^(2) (log .x))/(x)dx`