Independent multi-part (different techniques)

A question is this type if and only if it contains multiple independent parts where integration by parts is used in one part and completely different integration techniques (substitution, partial fractions, trigonometric identities) are used in other parts, with no connection between parts.

26 questions · Standard +0.0

1.08i Integration by parts
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WJEC Unit 3 Specimen Q8
14 marks Standard +0.3
  1. Integrate
    1. \(e^{-3x+5}\) [2]
    2. \(x^2 \ln x\) [4]
  2. Use an appropriate substitution to show that $$\int_0^{\frac{1}{2}} \frac{x^2}{\sqrt{1-x^2}} dx = \frac{\pi}{12} - \frac{\sqrt{3}}{8}.$$ [8]