$\mathop \smallint \nolimits_1^e \,\,\frac{1}{x}\,\,dx$ is equal to

$\log \,\,\left( {1 + e} \right)$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Understanding +4 | -1

\int \nolimits_1^e \,\,\frac{1}{x}\,\,dx

is equal to

View answer and explanation

Correct option: C

\mathrm{1}

Option C (1) is correct because the integral of 1/x from 1 to e is equal to ln(x) evaluated from 1 to e, which is ln(e) - ln(1) = 1 - 0 = 1.

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