1-11-09 Find the integral

Find the integral
\int_{0}^{\pi/4}{\sin x \times \log(\sin x)dx}

9 Answers

21
eragon24 _Retired ·

isnt it jus integration by parts

62
Lokesh Verma ·

what about the limits?

1
Amritansh Bharech ·

is the integral defined i mean log(sinx) will be undefined when x is zero

1
Che ·

i guess it will be an improper integral.....u hav to find limits tending to 0 after doing by parts....and solve

62
Lokesh Verma ·

no one?

19
Debotosh.. ·

0∫∩/4 log(sin x)dx =-∩/4 log2 ......now its simple integration by parts,,,
u=sin x and v=log(sin x)

1
Amritansh Bharech ·

u cannot do it by parts the integral is not defined when x tends to 0

106
Asish Mahapatra ·

it is not defined at zero no doubt but it IS defined at 0+. So the integral is essentially 0+∫pi/4-

62
Lokesh Verma ·

that's correct asish :)

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