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The option(s) with the values of a and L...

The option(s) with the values of a and L that satisfy the following equation is (are)
`(int_0^(4pi)e^t(sin^6at+cos^4at)dt)/(int_0^pi e^t(sin^6at+cos^4at)dt)=L`

A

`a=2, L=(e^(4pi)-1)/(e^pi-1)`

B

`a=2, L=(e^(4pi)+1)/(e^pi+1)`

C

`a=4, L=(e^(4pi)-1)/(e^pi-1)`

D

`a=4, L=(e^(4pi)+1)/(e^pi+1)`

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