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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

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

Grade:12

1 Answers

Gokul Joshi AskiitiansExpert-IITK
42 Points
11 years ago

?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.

Please feel free to post as many doubts on our discussion forum as you can.we will get you the answer and detailed  solution very  quickly. All the best.

Regards,
Askiitians Experts, Gokul  Joshi

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