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Popular Calculus >

integral of 5t

Solution

\int 5 t d t

Solution

\frac{5 t ^{2}}{2} + C

Solution steps

\int 5 t d t

Take the constant out:

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

= 5 \cdot \int t d t

Apply the Power Rule

= 5 \cdot \frac{t ^{2}}{2}

Multiply fractions:

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

= \frac{5 t ^{2}}{2}

Add a constant to the solution

= \frac{5 t ^{2}}{2} + C

Graph

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inverse oflaplace s/1

Frequently Asked Questions (FAQ)

What is the integral of 5t ?
The integral of 5t is (5t^2)/2+C