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Popular >

integral of-2x^4

Solution

\int - 2 x^{4} d x

Solution

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

Solution steps

\int - 2 x^{4} d x

Take the constant out:

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

= - 2 \cdot \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Add a constant to the solution

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

Popular Examples

area y=x^2-2x,y=-x^2+6x area

y = x^{2} - 2 x, y = - x^{2} + 6 x

limit as x approaches 3 of-(2/(x-3))

x \to 3 lim (- (\frac{2}{x - 3}))

derivative of f(x)=7e^{(3x^2-2x+7)}derivative of

f (x) = 7 e^{(3 x^{2} - 2 x + 7)}

y^'= 1/(sec^2(x))

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

d/(d{x)}({x}^2+{y}^2+{z}^2)

\frac{d}{d x} (x^{2} + y^{2} + z^{2})

Frequently Asked Questions (FAQ)

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