JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

A line tangent to the graph of the function

y=f(x)

at the point

x=a

forms an angle

\pi / 3

with the axis of abscissas and an angle

\pi / 4

at the point

x=b

then

\int\limits_{a}^b f^{\prime \prime}(x) d x

is (

f^{\prime \prime}

is assumed to be a continuous function)

View answer and explanation

Correct option: B

1-\sqrt{3}

Option B (

1-\sqrt{3}

) is correct because it is the difference between the tangent of the angles at points b and a, which corresponds to the difference in the first derivative of the function at those points.

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