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