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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

integral of (sin(20x))/(1+cos^2(20x))

\int \frac{sin ( 20 x )}{1 + cos ^{2} ( 20 x )} d x

integral from-8 to 27 of 1/(\sqrt[3]{x)}

2y^{''}+35y=0,y(0)=9,y^'(0)=6

2 y^{^{''}} + 35 y = 0, y (0) = 9, y^{^{'}} (0) = 6

(\partial)/(\partial x)(xe^{x^2-y^2})

\frac{\partial}{\partial x} (x e^{x^{2} - y^{2}})

y^{''}+y=5e^{-7t}

y^{^{''}} + y = 5 e^{- 7 t}

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