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Grade upto college level Integral Calculus

Please check my answer and tell me where I am wrong? The answer according to the answer key for thi question is 2

0pi/2(1+sin x)1/2dx = 0pi/2(sin x/2 + cos x/2)dx = [-2cos x/2 + 2sin x/2]0pi/2 = -2cos pi/4 + 2sin pi/4 = -√2 + √2 = 0

Profile image of Yogita Bang
13 Years agoGrade upto college level
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2 Answers

Profile image of akshay akshay
13 Years ago

you have not substituted the lower limit

Profile image of Har Simrat Singh
13 Years ago

its right upto  the step of subs the limits 

ie -2cospi/4+ 2sin pi/4 -(-2 cos 0 + 2sin0)

= 0 - (-2) = 2

remember cos 0 is 1