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Popular >

integral of (2x)/1

Solution

\int \frac{2 x}{1} d x

Solution

x^{2} + C

Solution steps

\int \frac{2 x}{1} 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

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

= 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

Popular Examples

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\int \frac{x ^{3} - 3 x ^{2} + 4 x - 9}{x ^{2} + 3} d x

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\int_{1}^{4} \frac{x - 2}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of (2x)/1 ?
The integral of (2x)/1 is x^2+C