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

2012 · Shift 0 · Q31
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Definite Integration
  5. /2012 · Shift 0 · Q31

Definite Integration question

2012 · Shift 0 · Q31

JEE MainMathematicsDefinite IntegrationMultiple correct+4 / −1
If g(x)=∫0xcos⁡4t dt,g\left( x \right) = \int\limits_0^x {\cos 4t\,dt,}g(x)=0∫x​cos4tdt, then g(x+π)g\left( {x + \pi } \right)g(x+π) equals
  1. A
    g(x)8(π){{g\left( x \right)} \over {8\left( \pi \right)}}8(π)g(x)​
  2. B
    g(x)+g(π)g\left( x \right) + g\left( \pi \right)g(x)+g(π)
  3. C
    g(x)−g(π)g\left( x \right) - g\left( \pi \right)g(x)−g(π)
  4. D
    g(x).g(π)g\left( x \right) . g\left( \pi \right)g(x).g(π)
PreviousNext

More from Definite Integration

  • The value of 0∫1​1+x28log(1+x)​dx is2011 · MCQ
  • Let p(x) be a function defined on R such that p′(x)=p′(1−x), for all x∈[0,1],p(0)=1 and p(1)=41. Then 0∫1​p(x)dx equals :2010 · MCQ
  • 0∫π​[cotx]dx, where [.] denotes the greatest integer function, is equal to:2009 · MCQ
  • Let I=0∫1​x​sinx​dx and J=0∫1​x​cosx​dx. Then which one of the following is true?2007 · MCQ
  • The solution for x of the equation 2​∫x​tt2−1​dt​=2π​ is2007 · MCQ
  • Let F(x)=f(x)+f(x1​), where f(x)=l∫x​1+tlogt​dt, Then F(e) equals2007 · MCQ
  • 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