Final Answer
$\frac{21}{2}$
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Step-by-step Solution
Problem to solve:
$\int_{0}^{3}\left(x+2\right)dx$
Specify the solving method
1
Expand the integral $\int_{0}^{3}\left(x+2\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
$\int_{0}^{3} xdx+\int_{0}^{3}2dx$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{3} xdx+\int_{0}^{3}2dx$
Learn how to solve definite integrals problems step by step online. Integrate the function x+2 from 0 to 3. Expand the integral \int_{0}^{3}\left(x+2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{3} xdx results in: \frac{9}{2}. The integral \int_{0}^{3}2dx results in: 6. Gather the results of all integrals.
Final Answer
$\frac{21}{2}$
Numeric Answer
$10.5$