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Popular >

integral of x^6-x^3

Solution

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

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Popular Examples

integral of (2x+3)/(sqrt(2-3x^2))

\int \frac{2 x + 3}{2 - 3 x ^{2}} d x

integral of 1/(3\sqrt[4]{x)}

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\int \frac{5}{2} x 5^{- x + 6} d x

integral of cot(38x)

\int cot (38 x) d x

integral of arctan(sqrt(2x+1))

\int arctan (2 x + 1) d x

Frequently Asked Questions (FAQ)

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