Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Definite Integration question

2007 · Shift 0 · Q49
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Definite Integration
  5. /2007 · Shift 0 · Q49

Definite Integration question

2007 · Shift 0 · Q49

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
Let 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)=∫lxlog⁡t1+tdt,f\left( x \right) = \int\limits_l^x {{{\log t} \over {1 + t}}dt,}f(x)=l∫x​1+tlogt​dt, Then F(e)F(e)F(e) equals
  1. A
    111
  2. B
    222
  3. C
    1/21/21/2
  4. D
    000
PreviousNext

More from Definite Integration

  • The value of 1∫a​[x]f′(x)dx,a>1 where [x] denotes the greatest integer not exceeding x is2006 · MCQ
  • 0∫π​xf(sinx)dx is equal to2006 · MCQ
  • −23π​∫−2π​​[(x+π)3+cos2(x+3π)]dx is equal to2006 · MCQ
  • Let f:R→R be a differentiable function having f(2)=6, f′(2)=(481​). Then x→2lim​6∫f(x)​x−24t3​dt…2005 · MCQ
  • The value of −π∫π​1+axcos2​dx,a>0, is2005 · MCQ
  • If I1​=0∫1​2x2dx,I2​=0∫1​2x3dx,I3​=1∫2​2x2dx and I4​=1∫2​2x3dx then2005 · MCQ
  • The value of integral, 3∫6​9−x​+x​x​​dx is2005 · MCQ
  • The value of I=0∫π/2​1+sin2x​(sinx+cosx)2​dx is2004 · MCQ