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Pure mathematics: calculus

Quick questions on Integration: indefinite and definite integrals, areas and the trapezium rule - OCR A-Level Maths A

4short 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 integration as anti-differentiation?
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Integration reverses differentiation. For an indefinite integral always add the constant of integration cc.
What are definite integrals?
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A definite integral evaluates the antiderivative at the limits and subtracts. No constant is needed because it cancels.
What is q1?
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Find ∫(4x3−6x+1) dx\displaystyle\int (4x^3 - 6x + 1)\,dx. [2 marks]
What is q2?
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Evaluate ∫0πsin⁡x dx\displaystyle\int_0^{\pi} \sin x\,dx. [2 marks]

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