- #1
Simon43254
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Before I start, this isn't a homework question.
I'm having trouble solving this question, I was wondering if anyone can help me.
The Question is as follows:
Show that the Integral of sqrt(sinx)/(sqrt(sinx) + sqrt(cosx))dx between 0 and pi/2 is equal to pi/4
Using the substitution x=pi/2-y
From the substitution I have got the (-1) integral of sqrt(cosy)/(sqrt(cosy) +sqrt(siny)) dy between pi/2 and 0 =pi/4
The furthest I have managed to get not including other further failed methods is;
the (1) integral of 1/(1+sqrt(tany))dy between pi/2 and 0
Thanks for any help in advance
Simon
I'm having trouble solving this question, I was wondering if anyone can help me.
The Question is as follows:
Show that the Integral of sqrt(sinx)/(sqrt(sinx) + sqrt(cosx))dx between 0 and pi/2 is equal to pi/4
Using the substitution x=pi/2-y
From the substitution I have got the (-1) integral of sqrt(cosy)/(sqrt(cosy) +sqrt(siny)) dy between pi/2 and 0 =pi/4
The furthest I have managed to get not including other further failed methods is;
the (1) integral of 1/(1+sqrt(tany))dy between pi/2 and 0
Thanks for any help in advance
Simon
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