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Popular >

integral of (x+4)^8

Solution

\int (x + 4)^{8} d x

Solution

\frac{( x + 4 ) ^{9}}{9} + C

Solution steps

\int (x + 4)^{8} d x

Apply u-substitution

: \int u^{8} d u

= \int u^{8} d u

Apply the Power Rule

: \frac{u ^{9}}{9}

= \frac{u ^{9}}{9}

Substitute back

u = x + 4

= \frac{( x + 4 ) ^{9}}{9}

Add a constant to the solution

= \frac{( x + 4 ) ^{9}}{9} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (x+4)^8 ?
The integral of (x+4)^8 is ((x+4)^9)/9+C