# Just a little difference...exchange of 6 and 5 !!!

Calculus Level 5

Given : $\displaystyle \int_{0}^{2.\pi} \dfrac{dx}{31+6cosx+5sinx}=\dfrac{\pi}{a}$ Find the value of $\large \lceil \frac{a^2}{2} \rceil$ It is not exactly the same problem as this one

Note:

$$\lceil \lambda \rceil$$ denotes ceiling function ( or lowest integer greater than equal to $$\lambda$$)

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