JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002If f(x)=∫1x1/4(1+x1/4) dxf(x) = \int \frac{1}{x^{1/4} (1 + x^{1/4})} \, dxf(x)=∫x1/4(1+x1/4)1dx, f(0)=−6f(0) = -6f(0)=−6, then f(1)f(1)f(1) is equal to:AOption A. 4(loge2−2)4(\log_e 2 - 2)4(loge2−2)BOption B. 2−loge22 - \log_e 22−loge2COption C. loge2+2\log_e 2 + 2loge2+2DOption D. 4(loge2+2)4(\log_e 2 + 2)4(loge2+2)CheckSkip · show solution
