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Popular >

integral of 10x 2/3

Solution

\int 10 x \frac{2}{3} d x

Solution

\frac{10 x ^{2}}{3} + C

Solution steps

\int 10 x \frac{2}{3} d x

Take the constant out:

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

= 10 \cdot \frac{2}{3} \cdot \int x d x

10 \cdot \frac{2}{3} = \frac{20}{3}

= \frac{20}{3} \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= \frac{20}{3} \cdot \frac{x ^{2}}{2}

Simplify

\frac{20}{3} \cdot \frac{x ^{2}}{2} : \frac{10 x ^{2}}{3}

= \frac{10 x ^{2}}{3}

Add a constant to the solution

= \frac{10 x ^{2}}{3} + C

Popular Examples

integral of (x+3)e^x

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

integral of 1/(x(2x-1))

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

integral of (ln(x-1))/(x-1)

\int \frac{ln ( x - 1 )}{x - 1} d x

integral of (x^{11})/(sqrt(x^6-1))

\int \frac{x ^{11}}{x ^{6} - 1} d x

integral of (3x+2)/(sqrt(1-x^2))

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

Frequently Asked Questions (FAQ)

What is the integral of 10x 2/3 ?
The integral of 10x 2/3 is (10x^2)/3+C