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Popular >

integral of (-7x^6)

Solution

\int (- 7 x^{6}) d x

Solution

- x^{7} + C

Solution steps

\int - 7 x^{6} d x

Take the constant out:

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

= - 7 \cdot \int x^{6} d x

Apply the Power Rule

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

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

Simplify

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

= - x^{7}

Add a constant to the solution

= - x^{7} + C

Popular Examples

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\int e^{x y} sin (x y) d x

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\int sin (10 x) sin (20 x) sin (30 x) d x

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integral of x/((x^2+5)(x-2)^2)

\int \frac{x}{( x ^{2} + 5 ) ( x - 2 ) ^{2}} d x

Frequently Asked Questions (FAQ)

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