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Popular >

integral of 3x^5+x^4

Solution

\int 3 x^{5} + x^{4} d x

Solution

\frac{x ^{6}}{2} + \frac{x ^{5}}{5} + C

Solution steps

\int 3 x^{5} + x^{4} 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 3 x^{5} d x + \int x^{4} d x

\int 3 x^{5} d x = \frac{x ^{6}}{2}

\int x^{4} d x = \frac{x ^{5}}{5}

= \frac{x ^{6}}{2} + \frac{x ^{5}}{5}

Add a constant to the solution

= \frac{x ^{6}}{2} + \frac{x ^{5}}{5} + C

Graph

Popular Examples

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\int (a x)^{3} d x

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\int ln (x) + c d x

Frequently Asked Questions (FAQ)

What is the integral of 3x^5+x^4 ?
The integral of 3x^5+x^4 is (x^6)/2+(x^5)/5+C