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Popular >

integral of 3/4 x^3

Solution

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

Solution

\frac{3 x ^{4}}{16} + C

Solution steps

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

Apply the Power Rule

: \frac{x ^{4}}{4}

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

Simplify

\frac{3}{4} \cdot \frac{x ^{4}}{4} : \frac{3 x ^{4}}{16}

= \frac{3 x ^{4}}{16}

Add a constant to the solution

= \frac{3 x ^{4}}{16} + C

Popular Examples

integral of e^{-3x}x^2

\int e^{- 3 x} x^{2} d x

integral of xe^{2x-1}

\int x e^{2 x - 1} d x

integral of 1/(x*ln^3(x))

\int \frac{1}{x \cdot ln ^{3} ( x )} d x

integral of x^3ln(9x^2)

\int x^{3} ln (9 x^{2}) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 3/4 x^3 ?
The integral of 3/4 x^3 is (3x^4)/(16)+C