11.1 Integrating Standard Functions
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a.

Determine ∫(10t4−6t3) dt\int \left( 10t^4 - \frac{6}{\sqrt[3]{t}} \right) \, dt ∫(10t4−3t​6​)dt.

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b.

The rate of change of the mass, MMM grams, of a synthetic crystal with respect to time, ttt hours, is modeled by the differential equation

dMdt=10t4−6t3,t>0\frac{dM}{dt} = 10t^4 - \frac{6}{\sqrt[3]{t}}, \quad t > 0dtdM​=10t4−3t​6​,t>0

After 8 hours of growth, the mass of the crystal is measured to be 65520 grams.

Find an expression for MMM in terms of ttt.

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11.1 Integrating Standard Functions Questions

Practise Edexcel A Level Maths 11.1 Integrating Standard Functions with exam-style questions for A Level Maths. 81 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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11.1 Integrating Standard Functions Questions

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