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Popular >

integral of x^3-6x+7

Solution

\int x^{3} - 6 x + 7 d x

Solution

\frac{x ^{4}}{4} - 3 x^{2} + 7 x + C

Solution steps

\int x^{3} - 6 x + 7 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^{3} d x - \int 6 x d x + \int 7 d x

\int x^{3} d x = \frac{x ^{4}}{4}

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

\int 7 d x = 7 x

= \frac{x ^{4}}{4} - 3 x^{2} + 7 x

Add a constant to the solution

= \frac{x ^{4}}{4} - 3 x^{2} + 7 x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^3-6x+7 ?
The integral of x^3-6x+7 is (x^4)/4-3x^2+7x+C