Evaluate `int_0^n (x-[x]) dx`

Evaluate: int_0^1x(1-x)^n dx

Evaluate int_0^1 x^7dx

Evaluate int_0^1 x/(1+x^2) dx

If int_(0)^(a)f(x)dx=10 ,then Evaluate int_(0)^(a)f(a-x)dx

If int_(0)^(a)f(x)dx=10 ,then Evaluate int_(0)^(a)f(a-x)dx

Evaluate: int_0^1 |3x-1| dx

Evaluate (int_(0)^(n)[x]dx)/(int_(0)^(n){x}dx) (where [x] and {x} are integral and fractional parts of x respectively and n epsilon N ).

Evaluate int_0^2 |1-x| dx

Evaluate : int_0^1x ln(1+2x)dx=(3I n3)/8

Evaluate: int_0^pi |cos x| dx