The value of integral ∫_1^52^x dx=? is-

We have integral \(\int_1^52^x\,dx=?\)

$2^x = e^{xlog 2}$ 

⇒  $\int_1^5e^{xlog 2} dx=\frac{2^x}{log2}$ for x = 1 to x= 5

                                 = $\frac{2^5 - 2^1}{log2} = \frac{30}{log2}$