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Popular >

integral of-(x^3)/4

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

= - \frac{1}{4} \cdot \int x^{3} d x

Apply the Power Rule

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

= - \frac{1}{4} \cdot \frac{x ^{4}}{4}

Simplify

- \frac{1}{4} \cdot \frac{x ^{4}}{4} : - \frac{x ^{4}}{16}

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^2+x)e^x

\int (x^{2} + x) e^{x} d x

limit as x approaches 0 of (1-9x)^{1/x}

x \to 0 lim ((1 - 9 x)^{\frac{1}{x}})

derivative of 4sqrt(9x^2+5)

\frac{d}{d x} (4 9 x^{2} + 5)

slope of x^2+y^2 slope

x^{2} + y^{2}

(dy}{dx}=-\frac{(2x+ln(y))y)/x

\frac{d y}{d x} = - \frac{( 2 x + ln ( y ) ) y}{x}

Frequently Asked Questions (FAQ)

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