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(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 : `int(sinx)/(1+sin x) dx`
Last Answer : `int(sinx)/(1+sin x) dx`
Description : Evaluate `int e^(2x) sin 3x dx`.
Last Answer : Evaluate `int e^(2x) sin 3x 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(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 : `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(cotx)/(log(sinx)dx`
Last Answer : `int(cotx)/(log(sinx)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(2x+5)/(sqrt(x^(2)+3x+1))dx`
Last Answer : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`
Description : `int(1)/(sqrt(x^(2)|3x|d1))dx`
Last Answer : `int(1)/(sqrt(x^(2)|3x|d1))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 (cosx)/(cos 3x)dx`
Last Answer : `int (cosx)/(cos 3x)dx`
Description : `int(x^3+3)/(x^3-3x)dx`
Last Answer : `int(x^3+3)/(x^3-3x)dx`
Description : `int(1)/(sqrt(2x^(2)+3x-2))dx`
Last Answer : `int(1)/(sqrt(2x^(2)+3x-2))dx`
Description : `int(1)/(sqrt2+x-3x)dx`
Last Answer : `int(1)/(sqrt2+x-3x)dx`
Description : `int(3x+1)/(2x^(2)+x-1)dx`
Last Answer : `int(3x+1)/(2x^(2)+x-1)dx`
Description : `int(4x-3)/(3x^2+2x-5)dx`
Last Answer : `int(4x-3)/(3x^2+2x-5)dx`
Description : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Last Answer : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Description : `int sqrt(2-3x^(2))dx`
Last Answer : `int sqrt(2-3x^(2))dx`
Description : `int e^(3x) " cos 2x dx "`
Last Answer : `int e^(3x) " cos 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" cos"^(3)(3x +5) dx`
Last Answer : `int" cos"^(3)(3x +5) dx`
Description : `int(1)/(sqrt(1-(3x+2)^(2)))dx`
Last Answer : `int(1)/(sqrt(1-(3x+2)^(2)))dx`
Description : `int(1)/(3+(2-3x)^(2)) dx`
Last Answer : `int(1)/(3+(2-3x)^(2)) dx`
Description : `int((3x-2)/(x)+e^(x)) dx`
Last Answer : `int((3x-2)/(x)+e^(x)) dx`
Description : `int(3x-2)^(3) dx`
Last Answer : `int(3x-2)^(3) dx`
Description : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`
Last Answer : `(i) int_(0)^(pi//2) x sin x cos x dx` `(ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx`
Description : `int_(0)^(pi) sin 3x dx`
Last Answer : `int_(0)^(pi) sin 3x dx`
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 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(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+4 sin x)dx`
Last Answer : `int(1)/(3+4 sin x)dx`
Description : `int(1)/(3+2 sin x +cos x)dx`
Last Answer : `int(1)/(3+2 sin x +cos x)dx`
Description : `int(1)/(5-4 sin x)dx`
Last Answer : `int(1)/(5-4 sin 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`