So I'm revising for my STEP exam which is in 4 days and there's a question I'm trying to answer that I'm very stuck on, usually I would search for worked solutions online but I don't know the source of the question so I have no way to find it. It could be a STEP question or a MAT question and I have no idea of the year or the paper it's from. Here's the question, I'd appreciate it if someone could tell me if they know where it's from.
Let I= ∫cosx/(sinx+cosx)dx and J= ∫sinx/(sinx+cosx)dx, where 0≪a<3/4 π. By considering I+J and I-J, show that 2I= a + ln(sina + cosa). ...... (The question continues but it's difficult to type in with all the maths symbols and functions)
So I'm revising for my STEP exam which is in 4 days and there's a question I'm trying to answer that I'm very stuck on, usually I would search for worked solutions online but I don't know the source of the question so I have no way to find it. It could be a STEP question or a MAT question and I have no idea of the year or the paper it's from. Here's the question, I'd appreciate it if someone could tell me if they know where it's from.
Let I= ∫cosx/(sinx+cosx)dx and J= ∫sinx/(sinx+cosx)dx, where 0≪a<3/4 π. By considering I+J and I-J, show that 2I= a + ln(sina + cosa). ...... (The question continues but it's difficult to type in with all the maths symbols and functions)
Just to add that if you want to continue in this thread that's fine too.
If you say where you're stuck (we can look up the paper, so you should be able to describe without needing to typeset lots of maths), someone will help you through it.