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JEE Mains · Maths · STD 12 - 7.2 definite integral

સંકલિત \(\int_{0}^{1} \frac{1}{{ }_{7}^{\left[\frac{1}{x}\right]}} d x=\dots\dots\dots\) જ્યાં [.] એ મહત્તમ ઘનપૂર્ણાંક વિધેય દર્શાવે છે.

  1. A \(1+6 \log _{e}\left(\frac{6}{7}\right)\)
  2. B \(1-6 \log _{e}\left(\frac{6}{7}\right)\)
  3. C \(\log _{e}\left(\frac{7}{6}\right)\)
  4. D \(1-7 \log _{ e }\left(\frac{6}{7}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(1+6 \log _{e}\left(\frac{6}{7}\right)\)

Step-by-step Solution

Detailed explanation

\(\int\limits_{0}^{1} \frac{1}{7\left[\frac{1}{x}\right]} dx =-\int\limits_{1}^{0} \frac{1}{\left.7^{\left[\frac{1}{x}\right.}\right]} dx\)…
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