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int(0)^((pi)/(2))sinthetacostheta(a^(2)s...

`int_(0)^((pi)/(2))sinthetacostheta(a^(2)sin^(2)theta+b^(2)cos^(2)theta)^((1)/(2))d theta=(1)/(3)((a^(2)+ab+b^(2))/(a+b))`

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