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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 3sqrt(x)+1/(sqrt(x))

\int 3 x + \frac{1}{x} d x

(df)/(ds)=12s+(5s)/(sqrt(9-s^2))

\frac{df}{d s} = 12 s + \frac{5 s}{9 - s ^{2}}

limit as x approaches 0 of x^n

x \to 0 lim (x^{n})

derivative of y=x^3cos(x)derivative of

y = x^{3} cos (x)

integral from 0 to 2 of ((x+2)/(x-4))

\int_{0}^{2} (\frac{x + 2}{x - 4}) d x

Frequently Asked Questions (FAQ)

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