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Popular Calculus >

integral of u(t)

Solution

\int u (t) d t

Solution

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

Solution steps

\int u t d t

Take the constant out:

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

= u \cdot \int t d t

Apply the Power Rule

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

Multiply fractions:

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

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

Add a constant to the solution

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

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

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