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Popular Calculus >

integral of 2θ

Solution

\int 2 θ d θ

Solution

θ^{2} + C

Solution steps

\int 2 θ d θ

Take the constant out:

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

= 2 \cdot \int θ d θ

Apply the Power Rule

= 2 \cdot \frac{θ ^{2}}{2}

Simplify

2 \cdot \frac{θ ^{2}}{2} : θ^{2}

= θ^{2}

Add a constant to the solution

= θ^{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 2θ ?
The integral of 2θ is θ^2+C