what is the value of definite integral of e^x{cos(sinx)cos^2x/2+sin(sinx)sin^2x/2}dx limit from 0 to pie/2..........options are a)1/2[e^pie/2(cos1+sin1)-1] b)1/2(e^pie/2cos1-1) please give the complete solution

?Dear Akash, 

I think you have not translated the question in text correctly. I say this because you have cos^2x/2 in expression. It should mean that 2x is exponent of cos, but then what is the operand of cos???

If you have MS-Word, can you try posting it in MS-Equation or may be by attaching a pic of it by writing it using mouse in say paintbrush. e.g. like what I have attached for your query.

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Askiitians Experts, Gokul  Joshi