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Popular >

integral from 0 to 2a of x

Solution

\int_{0}^{2 a} x d x

Solution

2 a^{2}

Solution steps

\int_{0}^{2 a} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{2 a}

= [\frac{x ^{2}}{2}]_{0}^{2 a}

Compute the boundaries:

2 a^{2}

= 2 a^{2}

Popular Examples

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

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\int_{6}^{3} 9 x^{2} - 4 x + 9 d x

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\int_{0}^{6} h (x) d x

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\int_{1}^{4} x e^{- x} - e^{- x} d x

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\int_{- 2}^{6} h (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2a of x ?
The integral from 0 to 2a of x is 2a^2