Evaluate int(0)^(pi/2)(2sinx+3cosx)/(sin...

Evaluate `int_(0)^(pi/2)(2sinx+3cosx)/(sinx+cosx)dx`.

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The correct Answer is:

`(5pi)/4`

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ACCURATE PUBLICATION-DEFINITE INTEGRALS-QUESTION CARRYING 4 MARKS

Evaluate int(0)^(pi/2)(2sinx+3cosx)/(sinx+cosx)dx.
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Prove that : int0^pi (xtanx)/(secxcosecx)dx =pi^2/4.
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Using property of define integrals, prove that : int(0)^(1) (log(1+x...
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Show that : int(0)^(pi)x/(1+sinx)dx=pi
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Prove that : int0^pi (xtanx)/(secxcosecx)dx =pi^2/4.
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By using the properties of definite integrals, evaluate the following ...
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Evaluate : int(0)^(pi) (x dx)/(a^(2)cos^(2)x +b^(2)sin^(2)x).
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By using the properties of definte, prove that int(0)^(a)(sqrt(x)dx)...
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Evaluate : int(2)^(4){abs(x-2)+abs(x-3)+abs(x-4)}dx.
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