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Popular >

integral of (5x)/8

Solution

\int \frac{5 x}{8} d x

Solution

\frac{5 x ^{2}}{16} + C

Solution steps

\int \frac{5 x}{8} d x

Take the constant out:

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

= \frac{5}{8} \cdot \int x d x

Apply the Power Rule

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

= \frac{5}{8} \cdot \frac{x ^{2}}{2}

Simplify

\frac{5}{8} \cdot \frac{x ^{2}}{2} : \frac{5 x ^{2}}{16}

= \frac{5 x ^{2}}{16}

Add a constant to the solution

= \frac{5 x ^{2}}{16} + C

Popular Examples

integral of sin(x)-4

\int sin (x) - 4 d x

integral of (xe^{-x/2})/4

\int \frac{x e ^{- \frac{x}{2}}}{4} d x

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\int 8 cot (x) d x

integral of 1/(sqrt(81-9x^2))

\int \frac{1}{81 - 9 x ^{2}} d x

integral of (x+y)sin(x+y)

\int (x + y) sin (x + y) d y

Frequently Asked Questions (FAQ)

What is the integral of (5x)/8 ?
The integral of (5x)/8 is (5x^2)/(16)+C