en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 5/4 x^3

Solution

\int \frac{5}{4} x^{3} d x

Solution

\frac{5 x ^{4}}{16} + C

Solution steps

\int \frac{5}{4} x^{3} d x

Take the constant out:

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

= \frac{5}{4} \cdot \int x^{3} d x

Apply the Power Rule

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

= \frac{5}{4} \cdot \frac{x ^{4}}{4}

Simplify

\frac{5}{4} \cdot \frac{x ^{4}}{4} : \frac{5 x ^{4}}{16}

= \frac{5 x ^{4}}{16}

Add a constant to the solution

= \frac{5 x ^{4}}{16} + C

Popular Examples

integral of sec^5(x)tan(x)integral

sec^{5} (x) tan (x)

integral of xcsc(4x^2)

\int x csc (4 x^{2}) d x

integral of 7/(25x^2+36)

\int \frac{7}{25 x ^{2} + 36} d x

integral of 6x^3e^{3x}

\int 6 x^{3} e^{3 x} d x

integral of 2/(xsqrt(1+4x^2))

\int \frac{2}{x 1 + 4 x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 5/4 x^3 ?
The integral of 5/4 x^3 is (5x^4)/(16)+C