Integral Value with Log (Jee Mains)

Basics and Substitution

Hard

Integral Value with Log

Let f(x) = $\int {\frac{{dx}}{{{x^{\left( {\frac{2}{3}} \right)}} + 2{x^{\left( {\frac{1}{2}} \right)}}}}}$ be such that f(0) = –26 + 24 log_e(2). If f(1) = a + b log_e(3), where a, b ∈ Z, then a + b is equal to:

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