Final Answer
$\frac{1}{2}e^x+\frac{2}{5}\sqrt{x^{5}}+C_0$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\int\left(\frac{e^x}{2}+x\sqrt{x}\right)dx$
Specify the solving method
1
Simplify the expression inside the integral
$\int\frac{e^x}{2}dx+\int\sqrt{x^{3}}dx$
Learn how to solve integrals of exponential functions problems step by step online.
$\int\frac{e^x}{2}dx+\int\sqrt{x^{3}}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int((e^x)/2+xx^1/2)dx. Simplify the expression inside the integral. The integral \int\frac{e^x}{2}dx results in: \frac{1}{2}e^x. The integral \int\sqrt{x^{3}}dx results in: \frac{2}{5}\sqrt{x^{5}}. Gather the results of all integrals.
Final Answer
$\frac{1}{2}e^x+\frac{2}{5}\sqrt{x^{5}}+C_0$