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Popular >

integral of 16x^4

Solution

\int 16 x^{4} d x

Solution

\frac{16 x ^{5}}{5} + C

Solution steps

\int 16 x^{4} d x

Take the constant out:

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

= 16 \cdot \int x^{4} d x

Apply the Power Rule

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

= 16 \cdot \frac{x ^{5}}{5}

Multiply fractions:

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

= \frac{16 x ^{5}}{5}

Add a constant to the solution

= \frac{16 x ^{5}}{5} + C

Popular Examples

integral of (3e^{ln(x)})/x

\int \frac{3 e ^{l n (x)}}{x} d x

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\int \frac{x ^{2}}{( x ^{3} - 1 )} d x

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\int \frac{ln ( u )}{( 1 + ln ( u ) ) ^{2}} d u

integral of 4/(4x+3)

\int \frac{4}{4 x + 3} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 16x^4 ?
The integral of 16x^4 is (16x^5)/5+C