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\int x\left(2x^2+1\right)^6dx

Integral of x(2x^2+1)^6

Answer

$\frac{1}{28}\left(1+2x^2\right)^{7}+C_0$

Step-by-step explanation

Problem

$\int x\left(2x^2+1\right)^6dx$
1

Solve the integral $\int\left(1+2x^2\right)^6xdx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=1+2x^2 \\ du=4xdx\end{matrix}$

Unlock this step-by-step solution!

Answer

$\frac{1}{28}\left(1+2x^2\right)^{7}+C_0$

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$\int x\left(2x^2+1\right)^6dx$

Main topic:

Integration by substitution

Used formulas:

5. See formulas

Time to solve it:

~ 0.76 seconds