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

The integral from x to 2x of 1 is x

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integral from x to 2x of 1

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

x

Solution steps

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

Integral of a constant:

\int a d x = a x

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

Simplify

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

Compute the boundaries:

x

= x

\int_{- 1}^{0} x^{2} (x - 2) d x

\int_{- 1}^{1} (10 x^{2} + 11) d x

\int_{- 1}^{1} x^{3} - x^{2} d x

\int_{1}^{2} \frac{I n x}{x} d x

\int_{0}^{π} e^{\frac{x}{2}} cos (x) d x