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Popular Calculus >

integral of y=2x

Solution

integral

y = 2 x

Solution

x^{2} + C

Solution steps

\int 2 x d x

Take the constant out:

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

= 2 \cdot \int x d x

Apply the Power Rule

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

Simplify

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

= x^{2}

Add a constant to the solution

= x^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of y=2x ?
The integral of y=2x is x^2+C