Question

Calculate the following:

Answer 1

\[\int\limits x^3\exp(5x^4)dx\]

Answer 2

Let \(u = 5x^4\)
\(du = 5(4)x^3\, dx\implies \dfrac{du}{20}=x^3\, dx\)

Answer 3

The integral becomes very simple then \[ \frac{1}{20}\int e^u\, du\]

Answer 4

thanks!!