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Popular >

integral of 2x^7

Solution

\int 2 x^{7} d x

Solution

\frac{x ^{8}}{4} + C

Solution steps

\int 2 x^{7} d x

Take the constant out:

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

= 2 \cdot \int x^{7} d x

Apply the Power Rule

: \frac{x ^{8}}{8}

= 2 \cdot \frac{x ^{8}}{8}

Simplify

2 \cdot \frac{x ^{8}}{8} : \frac{x ^{8}}{4}

= \frac{x ^{8}}{4}

Add a constant to the solution

= \frac{x ^{8}}{4} + C

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Frequently Asked Questions (FAQ)

What is the integral of 2x^7 ?
The integral of 2x^7 is (x^8)/4+C