Evaluate the integral \(\int_3^7(1/

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Definite Integration

Question:

Evaluate the integral \(\int_3^7(1/(x-2)\,dx=?\)

Options:

log(5)

log(7)

log(2)

Correct Answer:

log(5)

Explanation:

We have integral \(\int_3^7(1/(x-2)\,dx=?\)

\(\int_3^7(1/(x-2)\,dx= {log(x-2)})\) for x=3 to x= 7

=-{log(7-2)- log(3-2)}

= log(5)- log(1)

= log(5)- 0

= log(5)