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Popular >

integral of 3x^8

Solution

\int 3 x^{8} d x

Solution

\frac{x ^{9}}{3} + C

Solution steps

\int 3 x^{8} d x

Take the constant out:

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

= 3 \cdot \int x^{8} d x

Apply the Power Rule

: \frac{x ^{9}}{9}

= 3 \cdot \frac{x ^{9}}{9}

Simplify

3 \cdot \frac{x ^{9}}{9} : \frac{x ^{9}}{3}

= \frac{x ^{9}}{3}

Add a constant to the solution

= \frac{x ^{9}}{3} + C

Popular Examples

integral of (2x)(e^{x^2+3})

\int (2 x) (e^{x^{2} + 3}) d x

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\int t^{2} - 2 t - 3 d t

integral of tan^3(x)integral

tan^{3} (x)

integral of (cosh(x))/x

\int \frac{cosh ( x )}{x} d x

integral of 1/(4sin(x)+3cos(x)+5)

\int \frac{1}{4 sin ( x ) + 3 cos ( x ) + 5} d x

Frequently Asked Questions (FAQ)

What is the integral of 3x^8 ?
The integral of 3x^8 is (x^9)/3+C