calc integration hl practice.rtf - (32 marks total on general integration 1 Using integration by parts show that e 2x 1 sin xdx e 2 x(2 sin x cos x C

# calc integration hl practice.rtf - (32 marks total on...

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(32 marks total) on general integration 1. Using integration by parts, show that C x x x x x x ) cos sin 2 ( e 5 1 d sin e 2 2 . (6) 2. Integrate d cos 1 sin . (3) 3. Using the substitution x = 2 sin θ , show that 2 arcsin 4 d 4 2 2 x B x Ax x x + constant, where A and B are constants whose values you are required to find. (8) 4. Find