JEE Advance - Mathematics (1991 - No. 24)
Sketch the curves and identify the region bounded by
$$x = {1 \over 2},x = 2,y = \ln \,x$$ and $$y = {2^x}.$$ Find the area of this region.
$$x = {1 \over 2},x = 2,y = \ln \,x$$ and $$y = {2^x}.$$ Find the area of this region.
$$\,{{4 + \sqrt 2 } \over {\log 2}} - {5 \over 2}\log 2 + {3 \over 2}$$
$$\,{{4 - \sqrt 2 } \over {\log 2}} + {5 \over 2}\log 2 - {3 \over 2}$$
$$\,{{4 - \sqrt 2 } \over {\log 2}} - {5 \over 2}\log 2 + {3 \over 2}$$
$$\,{{4 - \sqrt 2 } \over {\log 2}} - {3 \over 2}\log 2 + {5 \over 2}$$
$$\,{{4 + \sqrt 2 } \over {\log 2}} + {5 \over 2}\log 2 + {3 \over 2}$$