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Popular >

integral of (a+x)^3

Solution

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

Solution

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

Solution steps

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

Apply u-substitution

: \int u^{3} d u

= \int u^{3} d u

Apply the Power Rule

: \frac{u ^{4}}{4}

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

Substitute back

u = a + x

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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