Question

What is the integral of the function x4 in the interval from c to d?Options shown in pictures

Answer 1

$\int x^4dx=\frac{x^5}{5}+C$

Where C is a constant

Now limit should be applied. We do not need to consider the constant when we apply limit as it cancels out

$\frac{x^5}{5}\text{ from c to d is }$$\frac{1}{5}(d^5-c^5)$

Hence the answer is