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: (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 : `(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(1)/(5x+1)dx " "(ii)int(1)/(sqrt(x+1+)sqrt(x))dx`
Last Answer : `(i) int(1)/(5x+1)dx " "(ii)int(1)/(sqrt(x+1+)sqrt(x))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(sinx)/(a+b cos x)dx`
Last Answer : `int(sinx)/(a+b cos 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^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 : Evaluate: `int(x+sinx)/(1+cosx) dx`
Last Answer : Evaluate: `int(x+sinx)/(1+cosx) dx`
Description : Evaluate: `int(sinx)/(sin(x-a)) dx`
Last Answer : Evaluate: `int(sinx)/(sin(x-a)) 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 : ` (i) int sqrt(1+ sin .(x)/(2)dx)` `(ii) int (1+cos 4x)/(cot x- tan x)dx`
Last Answer : ` (i) int sqrt(1+ sin .(x)/(2)dx)` `(ii) int (1+cos 4x)/(cot x- tan x)dx`
Description : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`
Last Answer : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`
Description : Evaluate `int(1)/(1+sinx)dx`.
Last Answer : Evaluate `int(1)/(1+sinx)dx`.
Description : Solve the following inequations `(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0` `(iii) sinx+sqrt(3)cosx ge 1` `(iv) cos^(2)x+sinx le 2` `(v)
Last Answer : Solve the following inequations `(i) (sinx-2)(2sinx-1) lt 0` `(ii) (2cosx-1)(cosx) le 0` `(iii) sinx+sqrt(3) ... ^(2)x+sinx le 2` `(v) tan^(2)x gt 3`
Description : `int{ 5a^(x)+ 6a cos (5x +1)}dx`
Last Answer : `int{ 5a^(x)+ 6a cos (5x +1)}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 : `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 : 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 : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Last Answer : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Description : Evaluate: `int(x-5) sqrt(x^2+x) dx`
Last Answer : Evaluate: `int(x-5) sqrt(x^2+x) 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(1)/(sqrt(1+cos 2x))dx`
Last Answer : `int(1)/(sqrt(1+cos 2x))dx`
Description : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Description : Evaluate: `int{s in(logx)+cos(logx)}dx`
Last Answer : Evaluate: `int{s in(logx)+cos(logx)}dx`
Description : 3(sinx-2) cos x/ 5-cos²x- 4sinx dx
Last Answer : Integrate: \( \int \frac{(3 \sin \phi-2) \cos \phi}{5-\cos ^{2} \phi-4 \sin \phi} d x \)
Description : `int(cot x)/(1+sinx) dx`
Last Answer : `int(cot x)/(1+sinx) dx`
Description : `int(sinx)/(1+sin x) dx`
Last Answer : `int(sinx)/(1+sin x) dx`
Description : `(i) int(2cos x)/(sqrt(1-4cos^(2) x))dx " "(ii) int (x+1)/(sqrt(x^(2)+1))dx`
Last Answer : `(i) int(2cos x)/(sqrt(1-4cos^(2) x))dx " "(ii) int (x+1)/(sqrt(x^(2)+1))dx`
Description : `(i) int(tan^(-1))/((1+x^(2)))dx" "(ii) int(1)/(sqrt(1-x^(2)) sin^(-1)x)dx`
Last Answer : `(i) int(tan^(-1))/((1+x^(2)))dx" "(ii) int(1)/(sqrt(1-x^(2)) sin^(-1)x)dx`
Description : `(i) int ((1+x)^(3))/(sqrt(x))dx " "(ii) int((1+x)^(3))/(x^(4)) dx`
Last Answer : `(i) int ((1+x)^(3))/(sqrt(x))dx " "(ii) int((1+x)^(3))/(x^(4)) dx`
Description : Evaluate: (i) `intsecxlog(secx+tanx) dx` (ii) `intcos e c xlog(cos e c x-cotx) dx`
Last Answer : Evaluate: (i) `intsecxlog(secx+tanx) dx` (ii) `intcos e c xlog(cos e c x-cotx) 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 : `(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 : Evaluate: `int1/(sinx(3+2cosx)dx`
Last Answer : Evaluate: `int1/(sinx(3+2cosx)dx`
Description : Evaluate: (i) `int1/(x^2)cos^2(1/x) dx` (ii) `intsec^4xtanx dx`
Last Answer : Evaluate: (i) `int1/(x^2)cos^2(1/x) dx` (ii) `intsec^4xtanx dx`
Description : `int sinx/sin(3x) dx=`
Last Answer : `int sinx/sin(3x) dx=`
Description : `int(cosx)/((1+sinx)(2+sinx))dx`
Last Answer : `int(cosx)/((1+sinx)(2+sinx))dx`
Description : `int(cotx)/(log(sinx)dx`
Last Answer : `int(cotx)/(log(sinx)dx`
Description : `int(1)/(1-sinx) dx`
Last Answer : `int(1)/(1-sinx) 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(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx`
Last Answer : `(i) int(cos^(3) x+ sin^(3) x)/(sin^(2) x.cos ^(2) x)dx " "(ii) int(cos2x)/(cos^(2) x sin^(2)x) dx`
Description : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) dx`
Last Answer : Evaluate: (i) `int1/(sqrt(1+cos2x)) dx` (ii) `int1/(sqrt(1-cosx)) 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)^(2) sqrt(5x+6)dx`
Last Answer : `int_(-1)^(2) sqrt(5x+6)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 : `int(x)/(sqrt(x^(2)+x+1))dx`
Last Answer : `int(x)/(sqrt(x^(2)+x+1))dx`
Description : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`
Last Answer : `int(2x+5)/(sqrt(x^(2)+3x+1))dx`