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AntiMatter

  • 5 years ago

How do I change the order of integration for the following equation...(i'll use the equation editor below)

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  1. AntiMatter
    • 5 years ago
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    \[I=\int\limits_{0}^{\pi/2}\int\limits_{x}^{\pi/2} [(\sin y) / (y)] dy dx\]

  2. AnwarA
    • 5 years ago
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    my solution is the following: if we draw the area of the integral, we can see it's bounded by the lines: \[x=y, x=0, y=\pi/2\] so x changes from \[x=0 \to x=y\], and we can fix y as \[y=0 \to y=\pi/2\] the integral I will be as: \[I=\int\limits_{0}^{\pi/2}\int\limits_{0}^{y}(siny/y)dxdy\] which will result in a value \[I=1\]

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