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Popular >

integral of x^4-6x

Solution

\int x^{4} - 6 x d x

Solution

\frac{x ^{5}}{5} - 3 x^{2} + C

Solution steps

\int x^{4} - 6 x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{4} d x - \int 6 x d x

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

\int 6 x d x = 3 x^{2}

= \frac{x ^{5}}{5} - 3 x^{2}

Add a constant to the solution

= \frac{x ^{5}}{5} - 3 x^{2} + C

Popular Examples

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\frac{d}{d x} (6 e^{x} t + x t)

area 7x,2x^2 area

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\frac{d}{d x} (ln (f (x)) (x))

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y^{^{'}} = \frac{sec ( y )}{( x - 1 ) ^{2}}

(dy}{dx}-\frac{2y)/x+x^2y^2=0

\frac{d y}{d x} - \frac{2 y}{x} + x^{2} y^{2} = 0

Frequently Asked Questions (FAQ)

What is the integral of x^4-6x ?
The integral of x^4-6x is (x^5)/5-3x^2+C