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Popular >

integral of 8/3 x

Solution

\int \frac{8}{3} x d x

Solution

\frac{4 x ^{2}}{3} + C

Solution steps

\int \frac{8}{3} x d x

Take the constant out:

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

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

Apply the Power Rule

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

= \frac{8}{3} \cdot \frac{x ^{2}}{2}

Simplify

\frac{8}{3} \cdot \frac{x ^{2}}{2} : \frac{4 x ^{2}}{3}

= \frac{4 x ^{2}}{3}

Add a constant to the solution

= \frac{4 x ^{2}}{3} + C

Graph

Popular Examples

integral of 4x^{5/2}

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

integral of xln(e^x)

\int x ln (e^{x}) d x

integral of x^2arctan(x

\int x^{2} arctan (d) x d x

integral of 8*(sin(2x))/(sin(x))

\int 8 \cdot \frac{sin ( 2 x )}{sin ( x )} d x

integral of sin(3x)sin(cos(3x))

\int sin (3 x) sin (cos (3 x)) d x

Frequently Asked Questions (FAQ)

What is the integral of 8/3 x ?
The integral of 8/3 x is (4x^2)/3+C