The option with the values | Maths | JEE Advanced 2016

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JEE Advance 2015

Paper-2 2015

Multiple correct answers - Select all that apply

Question

The option(s) with the values of a and L that satisfy the following equation is(are) $$ \frac{\int_0^{4 \pi} e^t\left(\sin ^6 a t+\cos ^4 a t\right) d t}{\int_0^\pi e^t\left(\sin ^6 a t+\cos ^4 a t\right) d t}=L ? $$

Select ALL correct options:

A

$a=2, L=\frac{e^{4 \pi}-1}{e^\pi-1}$

B

$a=2, L=\frac{e^{4 \pi}+1}{e^\pi+1}$

C

$\mathrm{a}=4, \mathrm{~L}=\frac{\mathrm{e}^{4 \pi}-1}{\mathrm{e}^\pi-1}$

D

$\mathrm{a}=4, \mathrm{~L}=\frac{\mathrm{e}^{4 \pi}+1}{\mathrm{e}^\pi+1}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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