Description : Evaluate `int e^(2x) sin 3x dx`.
Last Answer : Evaluate `int e^(2x) sin 3x 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 : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Last Answer : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Description : `int e^(3x) " cos 2x dx "`
Last Answer : `int e^(3x) " cos 2x 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 sinx/sin(3x) dx=`
Last Answer : `int sinx/sin(3x) dx=`
Description : `int e^(" sin x "). " sin 2x dx "`
Last Answer : `int e^(" sin x "). " sin 2x dx "`
Description : Evaluate `int sin^(-1)x dx`.
Last Answer : Evaluate `int sin^(-1)x dx`.
Description : Evaluate: `int(sinx)/(sin(x-a)) dx`
Last Answer : Evaluate: `int(sinx)/(sin(x-a)) 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(2x^(2)+3x-2))dx`
Last Answer : `int(1)/(sqrt(2x^(2)+3x-2))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+5)/(sqrt(x^2+2x+5)) dx`
Last Answer : Evaluate: `int(2x+5)/(sqrt(x^2+2x+5)) 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 : Evaluate: `inte^x ((sinxcosx-1)/(sin^2x)) dx`
Last Answer : Evaluate: `inte^x ((sinxcosx-1)/(sin^2x)) dx`
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 : `(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 : `int(sin 2x)/(5-cos^(2) x)dx`
Last Answer : `int(sin 2x)/(5-cos^(2) x)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 : `(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((3x-2)/(x)+e^(x)) dx`
Last Answer : `int((3x-2)/(x)+e^(x)) dx`
Description : Evaluate: `lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16)`.
Last Answer : Evaluate: `lim_(x rarr oo) (x^(5)+3x^(4)-4x^(3)-3x^(2)+2x+1)/(2x^(5)+4x^(2)-9x+16)`.
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 : 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 : `(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 x)/(e^(x) +sin x) dx`
Last Answer : `int(e^(x)+cos x)/(e^(x) +sin x) 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 : `"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(1)/(sqrt(x^(2)|3x|d1))dx`
Last Answer : `int(1)/(sqrt(x^(2)|3x|d1))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)/(sqrt2+x-3x)dx`
Last Answer : `int(1)/(sqrt2+x-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 : `(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 (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 (e^(x)dx)/(e^(2x)+4e^(x)+3)`
Last Answer : `int (e^(x)dx)/(e^(2x)+4e^(x)+3)`
Description : `int e^(2x) " (tan x+1)"^(2) dx`
Last Answer : `int e^(2x) " (tan x+1)"^(2) dx`
Description : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Last Answer : `(i) int_(0)^(pi//4) e^(tanx) . sec^(2) x dx` `(ii) int_(0)^(pi//4) (sin (cos 2x))/(" cosec " 2x)dx`
Description : Evaluate: `int(x^2-1)/(x^4+x^2+1) dx`
Last Answer : Evaluate: `int(x^2-1)/(x^4+x^2+1) dx`
Description : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Description : Evaluate: `int(x^2+4)/(x^4+16)dx`
Last Answer : Evaluate: `int(x^2+4)/(x^4+16)dx`