A-level circle question

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How do I integrate 2^x?


Express 2 cos x – sin x in the form Rcos( x + a ), where R and a are constants, R > 0 and a is between 0 and 90 ° Give the exact value of R and give the value of to 2 decimal places.


Find the indefinite integral of 3x - x^(3/2) dx


What is greater e^pi or pi^e?