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Popular >

integral of 6x^6-x

Solution

\int 6 x^{6} - x d x

Solution

\frac{6 x ^{7}}{7} - \frac{x ^{2}}{2} + C

Solution steps

\int 6 x^{6} - x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

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

\int 6 x^{6} d x = \frac{6 x ^{7}}{7}

\int x d x = \frac{x ^{2}}{2}

= \frac{6 x ^{7}}{7} - \frac{x ^{2}}{2}

Add a constant to the solution

= \frac{6 x ^{7}}{7} - \frac{x ^{2}}{2} + C

Popular Examples

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\int x 64 + x^{2} d x

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\int x (3 sec^{2} (x) + tan^{2} (x)) d x

derivative of sqrt(cos(5x))

\frac{d}{d x} (cos (5 x))

integral from 0 to pi/2 of 5cos^5(x)

\int_{0}^{\frac{π}{2}} 5 cos^{5} (x) d x

Frequently Asked Questions (FAQ)

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