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Popular >

integral of 3/65 x^2

Solution

\int \frac{3}{65} x^{2} d x

Solution

\frac{x ^{3}}{65} + C

Solution steps

\int \frac{3}{65} x^{2} d x

Take the constant out:

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

= \frac{3}{65} \cdot \int x^{2} d x

Apply the Power Rule

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

= \frac{3}{65} \cdot \frac{x ^{3}}{3}

Simplify

\frac{3}{65} \cdot \frac{x ^{3}}{3} : \frac{x ^{3}}{65}

= \frac{x ^{3}}{65}

Add a constant to the solution

= \frac{x ^{3}}{65} + C

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\int_{0}^{4} 4 x - x^{2} d x

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\int x cos (\frac{n x π}{l}) d x

volumeabout y=0,x= 1/3 (y^2+2)^{3/2},[1,3]volume about

y = 0, x = \frac{1}{3} (y^{2} + 2)^{\frac{3}{2}}, [1, 3]

(dy)/(dx)=(3x)/(10y)

\frac{d y}{d x} = \frac{3 x}{10 y}

integral from 0 to 11 of 1/(121+x^2)

\int_{0}^{11} \frac{1}{121 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 3/65 x^2 ?
The integral of 3/65 x^2 is (x^3)/(65)+C