underset(0)overset(pi)int sin^(3)x(1+2co...

`underset(0)overset(pi)int sin^(3)x(1+2cos x)(1+cos x)^(2)dx`

Verified by Experts

The correct Answer is:

`8/3`

underset(0)overset(1)int cos^(-1)((1-x^(2))/(1+x^(2)))dx
Text Solution
|
underset(1)overset(5)int (x)/(sqrt(2x-1))dx
Text Solution
|
underset(1)overset(2)int xsqrt(3x-2)dx
Text Solution
|
underset(0)overset(4)int xsqrt(4-x)dx
Text Solution
|
underset(0)overset(1)int cos^(-1)xdx
Text Solution
|
underset(0)overset(pi)int sin^(3)x(1+2cos x)(1+cos x)^(2)dx
Text Solution
|
underset(0)overset(pi//3)int (cos x)/(3+4sinx)dx
Text Solution
|
underset(0)overset(pi//2)int (sin^(2)x)/((1+cosx)^(2))dx
Text Solution
|
underset(0)overset(1)int sqrt((1-x)/(1+x))dx
Text Solution
|
underset(1)overset(2)int (1)/(x^(2))e^(-1//x)dx
Text Solution
|
underset(0)overset(pi//4)int e^(x) sin xdx
Text Solution
|
underset(1)overset(2)int (x+3)/(x(x+2)) dx
Text Solution
|
underset(0)overset(1)int log(1+x)dx
Text Solution
|
underset(0)overset(pi//2)int (1)/(1+cot^(7)xdx)
Text Solution
|
underset(0)overset(a)int (sqrtx)/(sqrtx+sqrt(a-x))dx
Text Solution
|
underset(0)overset(pi)int (x sin x)/(1+cos^(2)x)dx
Text Solution
|
underset(0)overset(pi)int (x)/(a^(2) cos^(2)x+b^(2) sin^(2)x)dx
Text Solution
|
underset(0)overset(pi//2)int (x sin x cos x)/(sin^(4)x+cos^(4)x)dx
Text Solution
|
underset(pi//6)overset(pi//2)int ("cosec x cot x")/(1+"cosec"^(2)x)dx
Text Solution
|
underset(0)overset(pi//2)int (sin^(2)x)/(sin x+cos x)dx
Text Solution
|