Final Answer
$\frac{2}{5}\sqrt{x^{5}}+x^2+x+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(x^{\frac{3}{2}}+2x+1\right)dx$
Specify the solving method
1
Simplifying
$\int\left(\sqrt{x^{3}}+2x+1\right)dx$
Learn how to solve integral calculus problems step by step online.
$\int\left(\sqrt{x^{3}}+2x+1\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x^(3/2)+2x+1)dx. Simplifying. Expand the integral \int\left(\sqrt{x^{3}}+2x+1\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\sqrt{x^{3}}dx results in: \frac{2}{5}\sqrt{x^{5}}. The integral \int2xdx results in: x^2.
Final Answer
$\frac{2}{5}\sqrt{x^{5}}+x^2+x+C_0$