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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