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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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