A student writes:

MATHEMATICS · Subjective · A Level · Mathematics · Integration · Integration

Problem

A student writes: ∫132x dx=x2+C∣13=9−1+C=8+C\int_1^3 2x\,dx = x^2 + C \big|_1^3 = 9 - 1 + C = 8 + C. (i) Identify the error in the above working. (ii) Calculate the correct numerical value of the integral.

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