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Popular Calculus >

integral of 9x^3

Solution

\int 9 x^{3} d x

Solution

\frac{9 x ^{4}}{4} + C

Solution steps

\int 9 x^{3} d x

Take the constant out:

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

= 9 \cdot \int x^{3} d x

Apply the Power Rule

= 9 \cdot \frac{x ^{4}}{4}

Multiply fractions:

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

= \frac{9 x ^{4}}{4}

Add a constant to the solution

= \frac{9 x ^{4}}{4} + C

Graph

Popular Examples

integral of e^{sqrt(2x)}

\int e^{2 x} d x

derivative of x^5(3+8x^7)

\frac{d}{d x} (x^{5} (3 + 8 x)^{7})

integral of x/((x-1)(x+1)^2)

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

integral from 2.3 to 2.75 of 2

\int_{2.3}^{2.75} 2 d x

y^{''}+y^'+y=0.5x

y^{^{''}} + y^{^{'}} + y = 0.5 x

Frequently Asked Questions (FAQ)

What is the integral of 9x^3 ?
The integral of 9x^3 is (9x^4)/4+C