Question:
Evaluate the integral:
\[
\int (x+2)^2 \, dx = ?
\]
Evaluate the integral:
\[
\int (x+2)^2 \, dx = ?
\]
Show Hint
When integrating polynomials or binomials raised to powers, first expand the expression to simplify integration.
Updated On: Nov 9, 2025
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Solution and Explanation
First, expand the integrand:
\[
(x+2)^2 = x^2 + 4x + 4
\]
Now integrate term by term:
\[
\int (x^2 + 4x + 4) \, dx = \int x^2 \, dx + \int 4x \, dx + \int 4 \, dx
\]
\[
= \frac{x^3}{3} + 2x^2 + 4x + c
\]
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