Final Answer
$x^2+2\sqrt{x^{3}}+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(2x+3\sqrt{x}\right)dx$
Specify the solving method
1
Expand the integral $\int\left(2x+3\sqrt{x}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int2xdx+\int3\sqrt{x}dx$
Learn how to solve integrals of polynomial functions problems step by step online.
$\int2xdx+\int3\sqrt{x}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(2x+3x^1/2)dx. Expand the integral \int\left(2x+3\sqrt{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2xdx results in: x^2. The integral \int3\sqrt{x}dx results in: 2\sqrt{x^{3}}. Gather the results of all integrals.
Final Answer
$x^2+2\sqrt{x^{3}}+C_0$