Step-by-step Solution

Integrate $\int\left(2x+1\right)^7dx$ with respect to x

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Step-by-step explanation

Problem to solve:

$\int\left(2x+1\right)^7dx$

Learn how to solve calculus problems step by step online.

$\begin{matrix}u=2x+1 \\ du=2dx\end{matrix}$

Unlock this full step-by-step solution!

Learn how to solve calculus problems step by step online. Integrate int((2*x+1)^7)dx with respect to x. Solve the integral \int\left(2x+1\right)^7dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Substituting u and dx in the integral and simplify. Take the constant out of the integral.

Final Answer

$\frac{1}{16}\left(2x+1\right)^{8}+C_0$

Problem Analysis

$\int\left(2x+1\right)^7dx$

Main topic:

Calculus

Related formulas:

1. See formulas

Time to solve it:

~ 0.03 seconds