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Popular >

integral of 18x^5

Solution

\int 18 x^{5} d x

Solution

3 x^{6} + C

Solution steps

\int 18 x^{5} d x

Take the constant out:

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

= 18 \cdot \int x^{5} d x

Apply the Power Rule

: \frac{x ^{6}}{6}

= 18 \cdot \frac{x ^{6}}{6}

Simplify

18 \cdot \frac{x ^{6}}{6} : 3 x^{6}

= 3 x^{6}

Add a constant to the solution

= 3 x^{6} + C

Popular Examples

(d^4)/(dx^4)(17e^{x^2})

\frac{d ^{4}}{d x ^{4}} (17 e^{x^{2}})

integral of sqrt(3x-9)

\int 3 x - 9 d x

derivative of 1/(tan^2(x))

\frac{d}{d x} (\frac{1}{tan ^{2} ( x )})

y^{''}-8y^'+15=0

y^{^{''}} - 8 y^{^{'}} + 15 = 0

derivative of f(x)=tan(2x-x^3)derivative of

f (x) = tan (2 x - x^{3})

Frequently Asked Questions (FAQ)

What is the integral of 18x^5 ?
The integral of 18x^5 is 3x^6+C