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Area of the region bounded by the curve ...

Area of the region bounded by the curve `y=tanx` and lines y = 0 and x = 1 is

A

`int_(0)^(1)tan (1-x)dx`

B

`tan1-int_(0)^(tan1)tan^(-1)ydy`

C

`int_(0)^(tan1)tan^(-1)ydy`

D

`int_(0)^(1)tan^(-1)xdx`

Text Solution

Verified by Experts

The correct Answer is:
A, c
`"Required area"=int_(0)^(1)tanxdx=int_(0)^(1)tan(1-x)dx`

`"Also required area "=tan1-int_(0)^(tan1)tan^(-1)ydy`
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