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Popular >

integral of (15x^4)

Solution

\int (15 x^{4}) d x

Solution

3 x^{5} + C

Solution steps

\int 15 x^{4} d x

Take the constant out:

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

= 15 \cdot \int x^{4} d x

Apply the Power Rule

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

= 15 \cdot \frac{x ^{5}}{5}

Simplify

15 \cdot \frac{x ^{5}}{5} : 3 x^{5}

= 3 x^{5}

Add a constant to the solution

= 3 x^{5} + C

Popular Examples

derivative of (-7x^2/(2x^2-5))

\frac{d}{d x} (\frac{- 7 x ^{2}}{2 x ^{2} - 5})

derivative of-cos(5x)

\frac{d}{d x} (- cos (5 x))

integral of 7e^4

\int 7 e^{4} d x

derivative of f(h)=x^2+2x+7 derivative of

f (h) = x^{2} + 2 x + 7

2y^{''}+8y^'+8y=0

2 y^{^{''}} + 8 y^{^{'}} + 8 y = 0

Frequently Asked Questions (FAQ)

What is the integral of (15x^4) ?
The integral of (15x^4) is 3x^5+C