$\mathop \smallint \nolimits_0^\pi \,\,|\cos \,\,x|dx\;$〗is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_0^\pi \,\,|\cos \,\,x|dx\;

〗is equal to

View answer and explanation

Correct option: D

\mathrm{2}

Option D (2) is correct because the integral of the absolute value of cos(x) from 0 to pi is calculated by splitting the integral into two parts, from 0 to pi/2 and from pi/2 to pi, and then evaluating each part separately.

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