Question

Find an expression for y given

$\frac{dy}{dx}=7x^5$

Answer 1

$\frac{dy}{dx}=7x^5\Rightarrow dy=7x^{5}dx$

Integrating both sides, we have

$\int dy=\int 7x^{5}dx\Rightarrow y=\frac{7x^6}{6}+c$