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Popular >

integral of 30x^4

Solution

\int 30 x^{4} d x

Solution

6 x^{5} + C

Solution steps

\int 30 x^{4} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 30 \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= 30 \cdot \frac{x ^{5}}{5}

Simplify

30 \cdot \frac{x ^{5}}{5} : 6 x^{5}

= 6 x^{5}

Add a constant to the solution

= 6 x^{5} + C

Graph

Popular Examples

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\int (4 - 2 x) d x

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\int e^{5 x - 4} d x

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\int \frac{1 - cos ( 2 t )}{2} d t

integral of 5x^2e^{4x}

\int 5 x^{2} e^{4 x} d x

Frequently Asked Questions (FAQ)

What is the integral of 30x^4 ?
The integral of 30x^4 is 6x^5+C