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Application of Integration question

2020 · Shift 1 · Q21

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PYQ Library
JEE Advanced
Mathematics
Application of Integration
2020 · Shift 1 · Q21

Application of Integration question

2020 · Shift 1 · Q21

JEE AdvancedMathematicsApplication of IntegrationMCQ+3 / −1

Let the functions f : R

\to

R and g : R

\to

R be defined by f(x) = ex

-

1

-

e

-

|x

-

1| and g(x) =

{1 \over 2}

(ex

-

1 + e1

-

x). The the area of the region in the first quadrant bounded by the curves y = f(x), y = g(x) and x = 0 is

A
$(2 - \sqrt 3 ) + {1 \over 2}(e - {e^{ - 1}})$
B
$(2 + \sqrt 3 ) + {1 \over 2}(e - {e^{ - 1}})$
C
$(2 - \sqrt 3 ) + {1 \over 2}(e + {e^{ - 1}})$
D
$(2 + \sqrt 3 ) + {1 \over 2}(e + {e^{ - 1}})$

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