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There's different ways you can do a)Please view image attached. Answers have been written in red.
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by the second statement he probably means x = sin^2 uThere's different ways you can do a)
You can changeto
which after expanding will give you an integral with varying powers of (1+x) which you can integrate straight away.
You can also do a u sub by lettingand then expanding to get varying powers of
which you can also integrate straight away.