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Popular Calculus >

integral of (x+5)^7

Solution

\int (x + 5)^{7} d x

Solution

\frac{( x + 5 ) ^{8}}{8} + C

Solution steps

\int (x + 5)^{7} d x

Apply u-substitution

= \int u^{7} d u

Apply the Power Rule

= \frac{u ^{8}}{8}

Substitute back

u = x + 5

= \frac{( x + 5 ) ^{8}}{8}

Add a constant to the solution

= \frac{( x + 5 ) ^{8}}{8} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of (x+5)^7 ?
The integral of (x+5)^7 is ((x+5)^8)/8+C