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Popular Calculus >

integral of (x+1)^9

Solution

\int (x + 1)^{9} d x

Solution

\frac{( x + 1 ) ^{10}}{10} + C

Solution steps

\int (x + 1)^{9} d x

Apply u-substitution

= \int u^{9} d u

Apply the Power Rule

= \frac{u ^{10}}{10}

Substitute back

u = x + 1

= \frac{( x + 1 ) ^{10}}{10}

Add a constant to the solution

= \frac{( x + 1 ) ^{10}}{10} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (x+1)^9 ?
The integral of (x+1)^9 is ((x+1)^{10})/(10)+C