Final Answer
$\frac{x^{3}}{3}+10x^2+75x+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(x^2+20x+75\right)dx$
Specify the solving method
1
Expand the integral $\int\left(x^2+20x+75\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
$\int x^2dx+\int20xdx+\int75dx$
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$\int x^2dx+\int20xdx+\int75dx$
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(x^2+20x+75)dx. Expand the integral \int\left(x^2+20x+75\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^2dx results in: \frac{x^{3}}{3}. The integral \int20xdx results in: 10x^2. The integral \int75dx results in: 75x.
Final Answer
$\frac{x^{3}}{3}+10x^2+75x+C_0$