The value of definite integral `int_(-1)^(1)(7-(2x-1)dx` is equal to

Evaluate the definite integrals int_(-1)^(1)(x+1)dx

Let [x] denote the greatest integer less than or equal to x, then the value of the integral int_(-1)^(1)(|x|-2[x])dx is equal to

The integral int_(-1)^(1) (|x+2|)/(x+2)dx is equal to

The value of the integral int_(-1)^(1) (x-[2x]) dx,is

Let f(x) be a continuous function on [0,4] satisfying f(x)f(4-x)=1. The value of the definite integral int_(0)^(4)(1)/(1+f(x))dx equals -

The value of the integral int_(1)^(3)|(x-1)(x-2)|dx is

If f(0)=1,f(2)=3,f'(2)=5 ,then the value of the definite integral int_(0)^(1)xf''(2x)dx is

The value of the definite integral int_(0)^(1)(1+e^(-x^(2))) dx is

Evaluate the definite integrals int_(2)^(3)(1)/(x)dx