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AS 1 Pure Mathematics
Quick questions on Integration: indefinite and definite integrals and the area under a curve - CCEA A-Level Mathematics
5short 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 integrating powers of x?Show answer
To find a particular function from its gradient function, integrate and then use a known point (a boundary condition) to fix the constant .
What is areas below the axis?Show answer
Where a curve dips below the -axis, the definite integral over that part is negative, because the signed area is below zero. To find the total geometric area, integrate each region separately between the relevant roots, take the modulus of any negative result, and add the magnitudes.
What is q1?Show answer
Find . [2 marks]
What is q2?Show answer
Evaluate . [2 marks]
What is q3?Show answer
A curve has and passes through . Find . [3 marks]
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