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Popular >

integral from 0 to 3 of pi(2x)^2

Solution

\int_{0}^{3} π (2 x)^{2} d x

Solution

36 π

+1

Solution steps

\int_{0}^{3} π (2 x)^{2} d x

Take the constant out:

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

= π \cdot \int_{0}^{3} (2 x)^{2} d x

Simplify

(2 x)^{2} : 4 x^{2}

= π \cdot \int_{0}^{3} 4 x^{2} d x

Take the constant out:

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

= π 4 \cdot \int_{0}^{3} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{3}

= π 4 [\frac{x ^{3}}{3}]_{0}^{3}

Compute the boundaries:

9

= π 4 \cdot 9

Simplify

= 36 π

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integral of (x^2-4)/(x^3-2x^2+x)

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derivative of 2^{xsin(x})

\frac{d}{d x} (2^{x s i n (x)})

f (x) = 5 tan (x)

Frequently Asked Questions (FAQ)

What is the integral from 0 to 3 of pi(2x)^2 ?
The integral from 0 to 3 of pi(2x)^2 is 36pi