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int0^(pi/4) (cos x- sin x) dx + int(pi/4...

`int_0^(pi/4) (cos x- sin x) dx + int_(pi/4)^((5pi)/4) (sinx-cosx) dx + int_(2pi)^(pi/4) (cosx- sinx) dx =`

A

`sqrt2-2`

B

`2sqrt2-2`

C

`3sqrt2-2`

D

`4sqrt2-2`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • int_(pi/4)^((3pi)/4) |sinx| dx =

    A
    0
    B
    `-sqrt2`
    C
    `sqrt2`
    D
    `2-sqrt2`
  • int_(-pi/2)^(pi/2) cos x. sinh x dx =

    A
    `pi/4`
    B
    `e^(pi)`
    C
    0
    D
    `-pi/4`
  • int_0^(pi//2) cos x e^(sin x) dx is :

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    0
    B
    1
    C
    `-1`
    D
    `e - 1`
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    int_(pi/4)^((3pi)/4) 1/(1+cosx) dx is equal to

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