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Popular Calculus >

integral of (x-5)^6

Solution

\int (x - 5)^{6} d x

Solution

\frac{( x - 5 ) ^{7}}{7} + C

Solution steps

\int (x - 5)^{6} d x

Apply u-substitution

= \int u^{6} d u

Apply the Power Rule

= \frac{u ^{7}}{7}

Substitute back

u = x - 5

= \frac{( x - 5 ) ^{7}}{7}

Add a constant to the solution

= \frac{( x - 5 ) ^{7}}{7} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (x-5)^6 ?
The integral of (x-5)^6 is ((x-5)^7)/7+C