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Popular >

integral of 9x^4

Solution

\int 9 x^{4} d x

Solution

\frac{9 x ^{5}}{5} + C

Solution steps

\int 9 x^{4} d x

Take the constant out:

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

= 9 \cdot \int x^{4} d x

Apply the Power Rule

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

= 9 \cdot \frac{x ^{5}}{5}

Multiply fractions:

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

= \frac{9 x ^{5}}{5}

Add a constant to the solution

= \frac{9 x ^{5}}{5} + C

Popular Examples

limit as x approaches 3-of cx^2+2x

x \to 3 - lim (c x^{2} + 2 x)

x^{^{'}} = \frac{1}{x ^{2}}

derivative of x+(x^2/2)

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

(\partial)/(\partial x)(5x+3y)

\frac{\partial}{\partial x} (5 x + 3 y)

tangent of y=6x^2+3x-3 tangent of

y = 6 x^{2} + 3 x - 3

Frequently Asked Questions (FAQ)

What is the integral of 9x^4 ?
The integral of 9x^4 is (9x^5)/5+C