JEE Advanced Model Paper 6 with solutions for online practice

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Question : 22 of 60

Marks: +1, -0

If f(x) = |

u1(x)	v1(x)	w1(x)
u2(x)	v2(x)	w2(x)
u3(x)	v3(x)	w3(x)

| and u1(x) = |x| , u2 (x) = x2 , u3 (x) = ex+e−x
v1(x) =

x

2

−

x

ex+1

, v2 (x) = cosx , v3 (x) = −x4 , w1(x) =

cosx

[

x

π

]+

1

2

, w1 (x) =

sin2x

[

x

π

+

1

2

]

, w3 (x) = x
then

π

4

∫

−

π

4

f(x) dx +

π

6

∫

−

π

6

f''(x) dx =

0
1/2
1/6
1

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