Final Answer
$\frac{4}{3}$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{1}\left(x^2+1\right)dx$
Specify the solving method
1
Expand the integral $\int_{0}^{1}\left(x^2+1\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{0}^{1} x^2dx+\int_{0}^{1}1dx$
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$\int_{0}^{1} x^2dx+\int_{0}^{1}1dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x^2+1 from 0 to 1. Expand the integral \int_{0}^{1}\left(x^2+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{1} x^2dx results in: \frac{1}{3}. The integral \int_{0}^{1}1dx results in: 1. Gather the results of all integrals.
Final Answer
$\frac{4}{3}$