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ScotlandMathsQuick questions

Methods in Algebra and Calculus

Quick questions on Integration techniques: substitution, by parts and partial fractions - SQA Advanced Higher Maths

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is wrong LIATE choice?
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Differentiating an exponential and integrating a logarithm leads nowhere; pick uu by the LIATE order.
What is q1?
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Find ∫xex dx\displaystyle\int xe^{x}\,dx. [3 marks]
What is q2?
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Use u=sin⁡xu = \sin x to find ∫sin⁡2xcos⁡x dx\displaystyle\int \sin^2 x\cos x\,dx. [3 marks]

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