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Popular >

integral of-5x^4

Solution

\int - 5 x^{4} d x

Solution

- x^{5} + C

Solution steps

\int - 5 x^{4} d x

Take the constant out:

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

= - 5 \cdot \int x^{4} d x

Apply the Power Rule

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

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

Simplify

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

= - x^{5}

Add a constant to the solution

= - x^{5} + C

Popular Examples

integral of csc^2(x)-2e^x

\int csc^{2} (x) - 2 e^{x} d x

integral from 0 to 1/4 of 1/(1+16x^2)

\int_{0}^{\frac{1}{4}} \frac{1}{1 + 16 x ^{2}} d x

(dy)/(dt)=y^2t^2

\frac{d y}{d t} = y^{2} t^{2}

integral of xcos(x^2+1)

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

y^{''}+4sqrt(6)y^'+24y=0

y^{^{''}} + 46 y^{^{'}} + 24 y = 0

Frequently Asked Questions (FAQ)

What is the integral of-5x^4 ?
The integral of-5x^4 is -x^5+C