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Popular Calculus >

integral of 10x

Solution

\int 10 x d x

Solution

5 x^{2} + C

Solution steps

\int 10 x d x

Take the constant out:

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

= 10 \cdot \int x d x

Apply the Power Rule

= 10 \cdot \frac{x ^{2}}{2}

Simplify

10 \cdot \frac{x ^{2}}{2} : 5 x^{2}

= 5 x^{2}

Add a constant to the solution

= 5 x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 10x ?
The integral of 10x is 5x^2+C