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Popular >

integral of-2x^6

Solution

\int - 2 x^{6} d x

Solution

- \frac{2 x ^{7}}{7} + C

Solution steps

\int - 2 x^{6} d x

Take the constant out:

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

= - 2 \cdot \int x^{6} d x

Apply the Power Rule

: \frac{x ^{7}}{7}

= - 2 \cdot \frac{x ^{7}}{7}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{2 x ^{7}}{7}

Add a constant to the solution

= - \frac{2 x ^{7}}{7} + C

Popular Examples

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\int x cot (x^{2}) sin (ln (sin (x^{2}))) d x

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integral of-x^{-3}+x-1

\int - x^{- 3} + x - 1 d x

integral of-1536(1+8x)^{-3}

\int - 1536 (1 + 8 x)^{- 3} d x

integral of ((x-1)/(x^2))^2

\int (\frac{x - 1}{x ^{2}})^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of-2x^6 ?
The integral of-2x^6 is -(2x^7)/7+C