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Popular >

integral of 8x^4

Solution

\int 8 x^{4} d x

Solution

\frac{8 x ^{5}}{5} + C

Solution steps

\int 8 x^{4} d x

Take the constant out:

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

= 8 \cdot \int x^{4} d x

Apply the Power Rule

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

= 8 \cdot \frac{x ^{5}}{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{8 x ^{5}}{5}

Add a constant to the solution

= \frac{8 x ^{5}}{5} + C

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\frac{d}{d x} (7 x^{3} - 3 x^{2} + 3 x - 12)

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\frac{d}{d x} (\frac{x ^{2}}{1 + x ^{2}})

integral of (2x^3)/(x^4+5)

\int \frac{2 x ^{3}}{x ^{4} + 5} d x

Frequently Asked Questions (FAQ)

What is the integral of 8x^4 ?
The integral of 8x^4 is (8x^5)/5+C