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Popular >

integral of 40x

Solution

\int 40 x d x

Solution

20 x^{2} + C

Solution steps

\int 40 x d x

Take the constant out:

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

= 40 \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= 40 \cdot \frac{x ^{2}}{2}

Simplify

40 \cdot \frac{x ^{2}}{2} : 20 x^{2}

= 20 x^{2}

Add a constant to the solution

= 20 x^{2} + C

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Frequently Asked Questions (FAQ)

What is the integral of 40x ?
The integral of 40x is 20x^2+C