Evaluate `inta^(mx)b^(nx)dx`

Evaluate: inta^(m x)b^(n x)dx

Evaluate: inta^(x)e^(x)dx

Evaluate: int_a^b x^3dx

Evaluate int_a^b(dx)/(sqrt(x)),w h e r ea , b > 0.

Let f(x) is continuous and positive for x in [a , b],g(x) is continuous for x in [a , b]a n dint_a^b|g(x)|dx >|int_a^bg(x)dx| STATEMENT 1 : The value of int_a^bf(x)g(x)dx can be zero. STATEMENT 2 : Equation g(x)=0 has at least one root for x in (a , b)dot

Evaluate int (a^x+b^x)^2/(a^x b^x) dx

Evaluate: int((e/x)^x+(x/e)^x)1nx dxdot

Evaluate: inttan^4x dx

Evaluate inte^(logsinx)dx .

Evaluate: int_a^b e^x dx using limit of sum