Question

Which step sets up the evaluation of the definite integral below?

$$\int_{0}^{2}2x(x^2+4)^{1}\,dx$$

Accepted Answer

$$\begin{aligned}&	ext{let }u=x^{2}+4,\;du=2x\,dx\ &\int_{4}^{8}u^{1}\,du\end{aligned}$$

Answer

$$\begin{aligned}&	ext{let }u=x^{2}+4,\;du=2x\,dx\ &\int_{8}^{4}u^{1}\,du\end{aligned}$$

Answer

$$\begin{aligned}&	ext{let }u=x^{2}+4,\;du=2x\,dx\ &\int_{0}^{2}u^{1}\,du\end{aligned}$$

Answer

$$\begin{aligned}&	ext{let }u=x^{2}+4,\;du=2x\,dx\ &\int_{4}^{8}u^{2}\,du\end{aligned}$$

Practice: Integration - Definite Substitution Intermediate Step