What is the integral from-a to a of 1 ?

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

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integral from-a to a of 1

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

2 a

Solution steps

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

Integral of a constant:

\int a d x = a x

= [1 \cdot x]_{- a}^{a}

Simplify

= [x]_{- a}^{a}

Compute the boundaries:

2 a

= 2 a

\int_{1}^{2} (32 x^{3} + \frac{6}{x ^{2}}) d x

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\int_{0}^{5} 1 + 4 x^{2} d x

\int_{5}^{7} 5 d x

\int_{0}^{5} 5 (1 - e^{y}) d y