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Popular >

integral of 0.5Q

Solution

\int 0.5 Q d Q

Solution

0.25 Q^{2} + C

Solution steps

\int 0.5 Q d Q

Take the constant out:

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

= 0.5 \cdot \int Q d Q

Apply the Power Rule

: \frac{Q ^{2}}{2}

= 0.5 \cdot \frac{Q ^{2}}{2}

Simplify

0.5 \cdot \frac{Q ^{2}}{2} : 0.25 Q^{2}

= 0.25 Q^{2}

Add a constant to the solution

= 0.25 Q^{2} + C

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Frequently Asked Questions (FAQ)

What is the integral of 0.5Q ?
The integral of 0.5Q is 0.25Q^2+C