- Find `d/(d theta) (sin^3 theta)`. (1 mark)
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- Use the substitution `x = tan theta` to evaluate `int_0^1 (x^2)/(1 + x^2)^(5/2)\ dx`. (4 marks)
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Calculus, EXT1 C2 2019 HSC 13a
Use the substitution `u = cos^2 x` to evaluate `int_0^(pi/4) (sin 2x)/(4 + cos^2 x)\ dx`. (3 marks)
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Calculus, EXT1 C2 2013 HSC 11f
Use the substitution `u = e^(3x)` to evaluate `int_0^(1/3) (e^(3x))/(e^(6x) + 1)\ dx`. (3 marks)
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