Find the value of ∫1/ 2x − 2/ x + 3/ √x dx'

Find the values of x if the points (2x, 2x), (3, 2x + 1) and (1, 0) are collinear.

If int_0^1e^ (-x^2) dx=a , then find the value of int_0^1x^2e^ (-x^2) dx in terms of a .

If int_0^1e^-x^2dx=a , then find the value of int_0^1x^2e^-x^2dx in terms of a .

Find the value of int(1)/[(x-1)^3(x+2)^5]^(1/4)dx

Find the value of int_(0)^(1)root(3)(2x^(3)-3x^(2)-x+1)dx .

A continuous real function f satisfies f(2x)=3f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

A continuous real function f satisfies f(2x)=3(f(x)AAx in RdotIfint_0^1f(x)dx=1, then find the value of int_1^2f(x)dx

The value of int_0^1(2x^2+3x+3)/((x+1)(x^2+2x+2))dx is

Evaluate : int (3x+1)/(2x^(2)-2x+3)dx

If (d)/(dx)((1+x^2+x^4)/(1+x+x^2)) = a+bx , find the values of a and b .