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Popular >

integral from 0 to 1 of integral from 0 to sqrt(x of)(4-2y)/((1+x)^2)

Solution

\int_{0}^{1} \int_{0}^{x} \frac{4 - 2 y}{( 1 + x ) ^{2}} d y d x

Solution

π - ln (2) - \frac{3}{2}

+1

Solution steps

\int_{0}^{1} \int_{0}^{x} \frac{4 - 2 y}{( 1 + x ) ^{2}} d y d x

\int_{0}^{x} \frac{4 - 2 y}{( 1 + x ) ^{2}} d y = \frac{1}{( 1 + x ) ^{2}} (4 x - x)

= \int_{0}^{1} \frac{1}{( 1 + x ) ^{2}} (4 x - x) d x

\int_{0}^{1} \frac{1}{( 1 + x ) ^{2}} (4 x - x) d x = π - ln (2) - \frac{3}{2}

= π - ln (2) - \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is the integral from 0 to 1 of integral from 0 to sqrt(x of)(4-2y)/((1+x)^2) ?
The integral from 0 to 1 of integral from 0 to sqrt(x of)(4-2y)/((1+x)^2) is pi-ln(2)-3/2