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

\pi / 3

with

y

-axis and at

x=b

an angle

\pi / 4

with

x

-axis then

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

View answer and explanation

Correct option: A

1-\frac{1}{\sqrt{3}}

Option A (

1-\frac{{1}}{{\sqrt{{3}}}}

) is correct because it represents the difference between the derivatives at points b and a, calculated using the tangent angles.

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