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Popular >

integral of 30x^2

Solution

\int 30 x^{2} d x

Solution

10 x^{3} + C

Solution steps

\int 30 x^{2} d x

Take the constant out:

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

= 30 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= 30 \cdot \frac{x ^{3}}{3}

Simplify

30 \cdot \frac{x ^{3}}{3} : 10 x^{3}

= 10 x^{3}

Add a constant to the solution

= 10 x^{3} + C

Popular Examples

limit as x approaches 9 of x-9

x \to 9 lim (x - 9)

limit as x approaches+8 of x^{(2/3)}

x \to + 8 lim (x^{(\frac{2}{3})})

derivative of (8x^2-2x+1/(x^2-5x))

\frac{d}{d x} (\frac{8 x ^{2} - 2 x + 1}{x ^{2} - 5 x})

integral of csc(y)

\int csc (y) d y

tangent of y=(8x)/((x^2+1))tangent of

y = \frac{8 x}{( x ^{2} + 1 )}

Frequently Asked Questions (FAQ)

What is the integral of 30x^2 ?
The integral of 30x^2 is 10x^3+C