- #1

KungPeng Zhou

- 22

- 7

- Homework Statement
- \int x^{2}\sqrt{2+x}dx

- Relevant Equations
- The Substitution Rule，

Table of Indefinite Integrals

When I encountereD this kind of question before.For example

\int x\sqrt{2+x^{2}}dx

We make the Substitution t=x^{2}+2，because its differential is dt=2xdx，so we get \int x\sqrt{2+x^{2}}=1/2\int\sqrt{t}dt，then we can get the answer easily

But the question，it seems that I can't use the way to solve the question.I can't find a correct commutation method.

\int x\sqrt{2+x^{2}}dx

We make the Substitution t=x^{2}+2，because its differential is dt=2xdx，so we get \int x\sqrt{2+x^{2}}=1/2\int\sqrt{t}dt，then we can get the answer easily

But the question，it seems that I can't use the way to solve the question.I can't find a correct commutation method.