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Popular Calculus >

integral of (x-2)^5

Solution

integral

(x - 2)^{5}

Solution

\frac{( x - 2 ) ^{6}}{6} + C

Solution steps

\int (x - 2)^{5} d x

Apply u-substitution

= \int u^{5} d u

Apply the Power Rule

= \frac{u ^{6}}{6}

Substitute back

u = x - 2

= \frac{( x - 2 ) ^{6}}{6}

Add a constant to the solution

= \frac{( x - 2 ) ^{6}}{6} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (x-2)^5 ?
The integral of (x-2)^5 is ((x-2)^6)/6+C