Final Answer
$\frac{21}{2}$
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Step-by-step Solution
Problem to solve:
$\int_{1}^{4}\left(x+1\right)dx$
Specify the solving method
1
Expand the integral $\int_{1}^{4}\left(x+1\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{1}^{4} xdx+\int_{1}^{4}1dx$
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{4} xdx+\int_{1}^{4}1dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x+1 from 1 to 4. Expand the integral \int_{1}^{4}\left(x+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{1}^{4} xdx results in: \frac{15}{2}. The integral \int_{1}^{4}1dx results in: 3. Gather the results of all integrals.
Final Answer
$\frac{21}{2}$