JEE Main 20262 Apr, Evening shiftMathematicsEasyIntegral Calculus369× since 2002Let f(x)=∫(16x+24x2+2x−15)dxf(x)=\int\left(\frac{16x+24}{x^2+2x-15}\right)dxf(x)=∫(x2+2x−1516x+24)dx. If f(4)=14loge(3)f(4)=14\log_e(3)f(4)=14loge(3) and f(7)=loge(2α⋅3β)f(7)=\log_e(2^\alpha\cdot3^\beta)f(7)=loge(2α⋅3β), α,β∈N\alpha, \beta\in\mathbf{N}α,β∈N, then α+β\alpha+\betaα+β is equal to :AOption A. 31BOption B. 37COption C. 39DOption D. 41CheckSkip · show solution
