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Practise exact antiderivatives

Without the use of a calculator, evaluate (a) ∫025(2x−1)4 dx\int_0^2 5(2x-1)^4\,dx, (b) ∫−1013x+14 dx\int_{-1}^0\frac1{\sqrt{3x+14}}\,dx.

CJC · Lecture · Self-Practice 1

Both copies print the two exact answers; the intermediate antiderivative calculations here are independently authored.

Differentiate your proposed antiderivative to check the inner linear factor.

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