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Popular >

integral of (3x)/4

Solution

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

Solution

\frac{3 x ^{2}}{8} + C

Solution steps

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

Take the constant out:

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

= \frac{3}{4} \cdot \int x d x

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

= \frac{3 x ^{2}}{8} + C

Popular Examples

limit as x approaches infinity of x-0

x \to \infty lim (x - 0)

integral from 3 to infinity of 1/(x^4)

\int_{3}^{\infty} \frac{1}{x ^{4}} d x

integral of 1/(x^7)

\int \frac{1}{x ^{7}} d x

derivative of (x+2)e^{-x}derivative of

(x + 2) e^{- x}

factor 6x^4+8x^3 factor

6 x^{4} + 8 x^{3}

Frequently Asked Questions (FAQ)

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