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Integration

Integration

by Sooraj Prakash -
Number of replies: 4

Please solve the following integral
\(\int{(dx/sqrt(cos^3 x cos(x-a))}\) is equal to

(a) 2Undetermined error: @@sqrt(tanx sina + cota)@@ + c
(b) 2cosecaUndetermined error: @@sqrt(tanx sina + cosa)@@ + c
(c) 2Undetermined error: @@sqrt(sina + tanx cosa)@@ + c
(d) 2cosecaUndetermined error: @@sqrt(tanx cosa + sina)@@ + c

The ans. is given as b, Please try this and reply.


In reply to Sooraj Prakash

Re: Integration

by ishaan biswas -

multiply and divide cosx in the denominator(indide the root)

then u have sec2x in the numerator then open cos(x-a)   and then a little manipulation wil get u hthe ans

In reply to ishaan biswas

Re: Integration

by amit kumar -
just differentiate b and you will get the ques. otherwise refer to the given soltions. i know from where you are asking this. :-D
In reply to amit kumar

Re: Integration

by Sooraj Prakash -
Thanks, I got it.
To Amit: I know that u know from where I'm asking so it would be better if u don't reply like this for my future questions.