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Popular >

integral of 2/(u^2)

Solution

\int \frac{2}{u ^{2}} d u

Solution

- \frac{2}{u} + C

Solution steps

\int \frac{2}{u ^{2}} d u

Take the constant out:

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

= 2 \cdot \int \frac{1}{u ^{2}} d u

Apply the Power Rule

: - \frac{1}{u}

= 2 (- \frac{1}{u})

Simplify

2 (- \frac{1}{u}) : - \frac{2}{u}

= - \frac{2}{u}

Add a constant to the solution

= - \frac{2}{u} + C

Graph

Popular Examples

derivative of arctan(sin(8x))

\frac{d}{d x} (arctan (sin (8 x)))

integral of (sin^3(x))/(cos^2(x))

\int \frac{sin ^{3} ( x )}{cos ^{2} ( x )} d x

tangent of f(x)=2-xe^x,\at x=0 tangent of

f (x) = 2 - x e^{x}, at x = 0

y^'=e^{-y}(2x-4),y(0)=1

y^{^{'}} = e^{- y} (2 x - 4), y (0) = 1

y^{''}+6y^'+9y=4e^{-3t}

y^{^{''}} + 6 y^{^{'}} + 9 y = 4 e^{- 3 t}

Frequently Asked Questions (FAQ)

What is the integral of 2/(u^2) ?
The integral of 2/(u^2) is -2/u+C