`int_(0)^(2)(1)/((1+3x))dx`

int_(0)^(0.2)(1)/((x^(2)+1)^(2))dx

If I_(1)=int_(0)^(2pi)sin^(3)xdx and I_(2)=int_(0)^(1)ln((1)/(x)-1)dx , then

Let n in N such that n gt 1 . Statement-1: int_(oo)^(0) (1)/(1+x^(n))dx=int_(0)^(1) (1)/((1-x^(n))^(1//n))dx Statement-2: int_a^b f(x)dx=int_(a)^(b) f(a+b-x)dx

The value of the integral int_(0)^(1) (1)/((1+x^(2))^(3//2))dx is

int_(0)^(1//2)(1)/(1-x^(2))ln.(1-x)/(1+x)dx is equal to

Evaluate :- int_(0)^(1)(3x^(2)+4)dx

int_(0)^(1)x^(2)(1-x)^(3)dx is equal to

The value of int_(0)^(1) (1)/(2x-3)dx is

int_(0)^(1)(2x)/((1+x^(4)))dx

Evaluate : (i) int_(-oo)^(oo) (dx)/(x^(2)+2x+2) , (ii) int_(sqrt(2))^(oo)(dx)/(xsqrt(x^(2)-1)) , (iii) int_(0)^(4)(x^(2))/(1+x)dx (iv) int_(0)^(pi//2) sqrt(costheta)sin^(3)theta