JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

For

y = f\left( x \right) = \int \limits_0^x \,2\,\left| {\,t\,} \right|\,dt

, the tangent lines parallel to the bisector of the first quadrant angle are

View answer and explanation

Correct option: A

y = x\,\, \pm \,\,\frac{1}{4}

Option A (

y = x\,\, \pm \,\,\frac{1}{4}

) is correct because the tangent lines parallel to the bisector of the first quadrant are found by setting the derivative equal to 1 and solving for x.

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[*]

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