A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Evaluate ∫(2x−3−2x+5) dx\displaystyle \int \left(\frac{2}{x-3}-\frac{2}{x+5}\right)\,dx. (a) ln⁡∣x−3∣−ln⁡∣x+5∣+C\ln|x-3|-\ln|x+5|+C (b) 2ln⁡∣x−3∣−2ln⁡∣x+5∣+C2\ln|x-3|-2\ln|x+5|+C (c) 2ln⁡∣x−3∣+2ln⁡∣x+5∣+C2\ln|x-3|+2\ln|x+5|+C (d) −2ln⁡∣x−3∣+2ln⁡∣x+5∣+C-2\ln|x-3|+2\ln|x+5|+C

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