int(0)^(pi//2)(cosx)/((sinx+cosx))dx=(pi...

`int_(0)^(pi//2)(cosx)/((sinx+cosx))dx=(pi)/(4)`

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int_(0)^(pi//2)(sinx)/((sinx+cosx))dx=?

int_(0)^(pi//2)(x)/(sinx+cosx)dx .

Knowledge Check

int_(0)^((pi)/2)(cos^(3)x)/(sinx+cosx)dx

A

`(pi-1)/2`

B

`(pi-1)/4`

C

`(1+pi)/4`

D

`(pi-3)/4`

int_(0)^((pi)/2)(cos2x)/(cosx+sinx)dx=

A

`-1`

B

1

C

0

D

2

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int_(0)^(pi//2)((sinx-cosx))/((1+sinxcosx))dx=0

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RS AGGARWAL-DEFINITE INTEGRALS-Exercise 16C

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int(0)^(pi//2)(dx)/((1+sqrt(tanx)))=(pi)/(4)
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int(0)^(pi//2)(sqrt(cotx))/((1+sqrt(cotx)))dx=?
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int(0)^(pi//2)((sinx-cosx))/((1+sinxcosx))dx=0
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