1.

Consider a function of the form f(x)=αe2x+βex−γx, where α,β,γ are independent of x and f(x) satisfies the following conditions : f(0)=−1, f′(ln2)=30 and ln4∫0(f(x)+γx)dx=24. Then the value of (α+β+γ) is

Answer» Consider a function of the form f(x)=αe2x+βexγx, where α,β,γ are independent of x and f(x) satisfies the following conditions : f(0)=1, f(ln2)=30 and ln40(f(x)+γx)dx=24. Then the value of (α+β+γ) is


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