# JEE Maths#5

Calculus Level 4

If $f(x) = ae^{2x}+be^x+cx$ satisfies the conditions $f(0) = -1$, $f'(\ln 2) = 31$ and $\displaystyle \int_0^{\ln 4} (f(x)-cx) \ dx = \dfrac {39}2$, then which of the answer options is correct. 

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