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Popular >

integral from 0 to x of (x-2y)

Solution

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

Solution

0

Solution steps

\int_{0}^{x} x - 2 y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{x} x d y - \int_{0}^{x} 2 y d y

\int_{0}^{x} x d y = x^{2}

\int_{0}^{x} 2 y d y = x^{2}

= x^{2} - x^{2}

Simplify

= 0

Popular Examples

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\int_{1}^{7} \frac{6}{x} d x

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\int_{0}^{π} - cos (2 y) + cos (y) d y

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\int_{- \frac{π}{2}}^{\frac{π}{2}} cos^{8} (x) d x

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\int_{0}^{4} ∣ 3 x - 7 ∣ d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to x of (x-2y) ?
The integral from 0 to x of (x-2y) is 0