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(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(x^3+3)/(x^3-3x)dx`
Last Answer : `int(x^3+3)/(x^3-3x)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 : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Last Answer : Evaluate : `int(2x-3)/(x^2+ 3x-18) 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 (cosx)/(cos 3x)dx`
Last Answer : `int (cosx)/(cos 3x)dx`
Description : `int(1)/(sqrt(2x^(2)+3x-2))dx`
Last Answer : `int(1)/(sqrt(2x^(2)+3x-2))dx`
Description : `int(4x-3)/(3x^2+2x-5)dx`
Last Answer : `int(4x-3)/(3x^2+2x-5)dx`
Description : `int sinx/sin(3x) dx=`
Last Answer : `int sinx/sin(3x) dx=`
Description : `int sqrt(2-3x^(2))dx`
Last Answer : `int sqrt(2-3x^(2))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)^(3) dx`
Last Answer : `int(3x-2)^(3) 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 : `(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). "(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 : `int x^3 e^(x^2) dx` is equal to
Last Answer : `int x^3 e^(x^2) dx` is equal to
Description : `int " log"_(e) " x dx "`
Last Answer : `int " log"_(e) " 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(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((log _(e)x)^(3))/(x)dx`
Last Answer : `int((log _(e)x)^(3))/(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 : `" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2),` then `int_(0)^(3) f(x) dx=?`
Last Answer : `" if " f(x) ={ underset( 5x" "2 le x le 3) (3x+ 4,0 le x le 2),` then `int_(0)^(3) f(x) dx=?` A. `(53)/(2)` B. `(55)/(2)` C. `(57)/(2)` D.
Description : `"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`
Last Answer : `"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`
Description : ` int_(0)^(pi//6) cos x cos 3x dx`
Last Answer : ` int_(0)^(pi//6) cos x cos 3x 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`