What is the integral from 2y to 2 of 1 ?

The integral from 2y to 2 of 1 is 2-2y

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integral from 2y to 2 of 1

\int_{2 y}^{2} 1 d x

2 - 2 y

Solution steps

\int_{2 y}^{2} 1 d x

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{2 y}^{2}

Simplify

= [x]_{2 y}^{2}

Compute the boundaries:

2 - 2 y

= 2 - 2 y

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

\int_{0}^{1} \frac{x}{1 - x} d x