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Popular >

integral of f(u)

Solution

\int f (u) d u

Solution

\frac{f u ^{2}}{2} + C

Solution steps

\int f u d u

Take the constant out:

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

= f \cdot \int u d u

Apply the Power Rule

: \frac{u ^{2}}{2}

= f \frac{u ^{2}}{2}

Multiply fractions:

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

= \frac{f u ^{2}}{2}

Add a constant to the solution

= \frac{f u ^{2}}{2} + C

Graph

Popular Examples

tangent of f(x)=(5x)/(x-2),(3,15)tangent of

f (x) = \frac{5 x}{x - 2}, (3, 15)

- y^{^{''}} + 36 y = 0

derivative of x^{7/2}

\frac{d}{d x} (x^{\frac{7}{2}})

derivative of 6y derivative of

6 y

y^{^{'}} = k (1 - y)^{2}

Frequently Asked Questions (FAQ)

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