`underset(0)overset(5)int (x+1)dx`

evaluate underset(0)overset(1)int e^(-x) dx

Integrate: underset(-5)overset(5)int(x+2)dx

Prove that underset(-a)overset(a)int f(x)dx={{:(,2underset(0)overset(a)int f(x)dx,"if f(x) is an even function"),(,0,"if f(x) is an odd function"):} and hence evaluate underset(-pi//2)overset(pi//2)int (x^(3)+x cos x)dx.

Evaluate: underset(3)overset(5)int(2-x)dx

Evaluate: underset(2)overset(5)int(x^2+x)dx

Evaluate: underset(0)overset(2)int(4-x^2)dx

Evaluate (a). int_(0)^(2)(x-1)dx (b). underset(0)overset(2)(x-1)dx

The integral underset(1)overset(5)int x^(2)dx is equal to

The integral underset(1)overset(5)int x^(2)dx is equal to

Prove that following: underset(2)overset(5)int|x-1|dx