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Popular Calculus >

integral of 16x^7

Solution

\int 16 x^{7} d x

Solution

2 x^{8} + C

Solution steps

\int 16 x^{7} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 16 \cdot \int x^{7} d x

Apply the Power Rule

= 16 \cdot \frac{x ^{8}}{8}

Simplify

16 \cdot \frac{x ^{8}}{8} : 2 x^{8}

= 2 x^{8}

Add a constant to the solution

= 2 x^{8} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 16x^7 ?
The integral of 16x^7 is 2x^8+C