Question

# int_{b}^{a}x^{7}dx

Integrals
$$\int_{b}^{a}x^{7}dx$$

There is a formula for calculating the integral of $$x^{n}$$ for any n. It is
$$\int_{a}^{b}x^{n}dx=\frac{1}{n+1}b^{n+1}-\frac{1}{n+1}a^{n+1}$$
$$\int_{a}^{b}x^{7}dx=\frac{1}{8}b^{8}-\frac{1}{8}a^{8}$$