Given that and

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

Problem

Given that ∫13f(x) dx=7\displaystyle \int_{1}^{3} f(x)\,dx = 7 and ∫36f(x) dx=−2\displaystyle \int_{3}^{6} f(x)\,dx = -2, calculate ∫16f(x) dx\displaystyle \int_{1}^{6} f(x)\,dx.

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