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Popular Calculus >

integral of (x+2)^n

Solution

integral

(x + 2)^{n}

Solution

\frac{( x + 2 ) ^{n + 1}}{n + 1} + C

Solution steps

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

Apply u-substitution

= \int u^{n} d u

Apply the Power Rule

= \frac{u ^{n + 1}}{n + 1}

Substitute back

u = x + 2

= \frac{( x + 2 ) ^{n + 1}}{n + 1}

Add a constant to the solution

= \frac{( x + 2 ) ^{n + 1}}{n + 1} + C

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the integral of (x+2)^n ?
The integral of (x+2)^n is ((x+2)^{n+1})/(n+1)+C