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Popular Calculus >

integral of x^7-6x+8

Solution

integral

x^{7} - 6 x + 8

Solution

\frac{x ^{8}}{8} - 3 x^{2} + 8 x + C

Solution steps

\int x^{7} - 6 x + 8 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 x^{7} d x - \int 6 x d x + \int 8 d x

\int x^{7} d x = \frac{x ^{8}}{8}

\int 6 x d x = 3 x^{2}

\int 8 d x = 8 x

= \frac{x ^{8}}{8} - 3 x^{2} + 8 x

Add a constant to the solution

= \frac{x ^{8}}{8} - 3 x^{2} + 8 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^7-6x+8 ?
The integral of x^7-6x+8 is (x^8)/8-3x^2+8x+C