JEE MainMathematicsDefinite IntegrationMCQ+4 / −1Let F(x)=f(x)+f(1x),F\left( x \right) = f\left( x \right) + f\left( {{1 \over x}} \right),F(x)=f(x)+f(x1), where f(x)=∫lxlogt1+tdt,f\left( x \right) = \int\limits_l^x {{{\log t} \over {1 + t}}dt,}f(x)=l∫x1+tlogtdt, Then F(e)F(e)F(e) equalsA111B222C1/21/21/2D000Attempt in chatSharePreviousNextMore from Definite IntegrationThe value of 1∫a[x]f′(x)dx,a>1 where [x] denotes the greatest integer not exceeding x is2006 · MCQ0∫πxf(sinx)dx is equal to2006 · MCQ−23π∫−2π[(x+π)3+cos2(x+3π)]dx is equal to2006 · MCQLet f:R→R be a differentiable function having f(2)=6, f′(2)=(481). Then x→2lim6∫f(x)x−24t3dt…2005 · MCQThe value of −π∫π1+axcos2dx,a>0, is2005 · MCQIf I1=0∫12x2dx,I2=0∫12x3dx,I3=1∫22x2dx and I4=1∫22x3dx then2005 · MCQThe value of integral, 3∫69−x+xxdx is2005 · MCQThe value of I=0∫π/21+sin2x(sinx+cosx)2dx is2004 · MCQ