Final answer to the problem
$\frac{2\sqrt{x^{5}}}{5}+x^2+x+C_0$
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1
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
$\int\sqrt{x^{3}}dx+\int2xdx+\int1dx$
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$\int\sqrt{x^{3}}dx+\int2xdx+\int1dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(x^(3/2)+2x+1)dx. 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\sqrt{x^{5}}}{5}. The integral \int2xdx results in: x^2. The integral \int1dx results in: x.
Final answer to the problem
$\frac{2\sqrt{x^{5}}}{5}+x^2+x+C_0$
