Question

Find indefinite intergral of x^3

Answer 1

Are you familiar with the `Power Rule for Integrals`:
\[\large \int\limits x^n\;dx \qquad=\qquad \frac{x^{n+1}}{n+1}\]

~Increase the exponent by 1,
~then divide by this new exponent.

Example:\[\large \int\limits x^2\;dx \qquad=\qquad \frac{x^{2+1}}{2+1} \qquad=\qquad \frac{1}{3}x^3\]
Do you understand how you could apply this to your problem? :o

Answer 2

This works really well with simple functions like x^3