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(5)/(5)int(0)^( pi/2)(dx)/(5+4sin x)...

(5)/(5)int_(0)^( pi/2)(dx)/(5+4sin x)

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int_(0)^(pi//2)(1)/(5+13 sin x) dx=

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int_(0)^(pi)(dx)/((5+4cosx))

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Evaluate int_(0)^(pi"/"2) (dx)/(4 + 5 cos x)