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Popular >

integral of-x^3

Solution

\int - x^{3} d x

Solution

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

Solution steps

\int - x^{3} d x

Take the constant out:

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

= - \int x^{3} d x

Apply the Power Rule

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

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

Add a constant to the solution

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

Popular Examples

\frac{d}{d y} (\frac{2 x}{y})

inverse oflaplace (s-3)/((s-4)(s+6))inverse laplace

\frac{s - 3}{( s - 4 ) ( s + 6 )}

integral of (x+1)/(x^3+7x^2+6x)

\int \frac{x + 1}{x ^{3} + 7 x ^{2} + 6 x} d x

derivative of 4/(5x^6)

\frac{d}{d x} (\frac{4}{5 x ^{6}})

tangent of f(x)=2-6x^2,(-5,-148)tangent of

f (x) = 2 - 6 x^{2}, (- 5, - 148)

Frequently Asked Questions (FAQ)

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