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Popular >

integral of (x^3-7x)

Solution

\int (x^{3} - 7 x) d x

Solution

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

Solution steps

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

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

\int 7 x d x = \frac{7 x ^{2}}{2}

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

Add a constant to the solution

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

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Frequently Asked Questions (FAQ)

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