Let . The curve is studied for . If the length of this curve on the given interval is…

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

Problem

Let k>0k>0. The curve y=kln⁡xy = k\ln x is studied for 1≤x≤41 \le x \le 4. If the length of this curve on the given interval is 55 units, determine kk, correct to two decimal places.

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