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Popular Calculus >

integral of 1/2 t

Solution

\int \frac{1}{2} t d t

Solution

\frac{t ^{2}}{4} + C

Solution steps

\int \frac{1}{2} t d t

Take the constant out:

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

= \frac{1}{2} \cdot \int t d t

Apply the Power Rule

= \frac{1}{2} \cdot \frac{t ^{2}}{2}

Simplify

\frac{1}{2} \cdot \frac{t ^{2}}{2} : \frac{t ^{2}}{4}

= \frac{t ^{2}}{4}

Add a constant to the solution

= \frac{t ^{2}}{4} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 1/2 t ?
The integral of 1/2 t is (t^2)/4+C