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The area of the region bounded by the cu...

The area of the region bounded by the curve `y=e^x` and lines `x=0a n dy=e` is `e-1` (b) `int_1^e1n(e+1-y)dy` `e-int_0^1e^x dx` (d) `int_1^e1nydy`

A

e-1

B

` int_(1)^(e)In(e+1-y)dy `

C

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

D

` int_(1)^(e )" In "y dy `

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Shaded area `=e-(int_(0)^(1)e^(x)dx)=1 `
Also, ` int_(1)^(e)In(e+1-y)dy " " ["put " e+1-y=t rArr -dy=dt]`
`=int_(e)^(1)" In "t(-dt)=int_(1)^(e)" In "t dt = int_(1)^(e)" In "y dy =1 `
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