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Popular Calculus >

integral of (2+x)^3

Solution

\int (2 + x)^{3} d x

Solution

\frac{( 2 + x ) ^{4}}{4} + C

Solution steps

\int (2 + x)^{3} d x

Apply u-substitution

= \int u^{3} d u

Apply the Power Rule

= \frac{u ^{4}}{4}

Substitute back

u = 2 + x

= \frac{( 2 + x ) ^{4}}{4}

Add a constant to the solution

= \frac{( 2 + x ) ^{4}}{4} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (2+x)^3 ?
The integral of (2+x)^3 is ((2+x)^4)/4+C