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

2022 · 27 Jun · Shift 2 · Q25
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Definite Integration
  5. /2022 · 27 Jun · Shift 2 · Q25

Definite Integration question

2022 · 27 Jun · Shift 2 · Q25

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
If m and n respectively are the number of local maximum and local minimum points of the function f(x)=∫0x2t2−5t+42+etdtf(x) = \int\limits_0^{{x^2}} {{{{t^2} - 5t + 4} \over {2 + {e^t}}}dt}f(x)=0∫x2​2+ett2−5t+4​dt, then the ordered pair (m, n) is equal to
  1. A
    (3, 2)
  2. B
    (2, 3)
  3. C
    (2, 2)
  4. D
    (3, 4)
PreviousNext

More from Definite Integration

  • Let f be a differentiable function in (0,2π​). If cosx∫1​t2f(t)dt=sin3x+cosx, then 3​1​f′(3​1​) is equal to2022 · MCQ
  • The integral 0∫1​7[x1​]1​dx, where [ . ] denotes the greatest integer function, is equal to2022 · MCQ
  • The minimum value of the twice differentiable function f(x)=0∫x​ex−tf′(t)dt−(x2−x+1)ex, x∈R, is :2022 · MCQ
  • If 0∫3​​1+x2+(1+x2)3​​15x3​ dx=α2​+β3​, where α,β are integers, then α+β is equal to ​.2022 · Numerical
  • Let In​(x)=∫0x​(t2+5)n1​dt,n=1,2,3,…. Then :2022 · MCQ
  • The value of the integral 0∫2π​​60sinxsin(6x)​dx is equal to ​.2022 · Numerical
  • Let [t] denote the greatest integer less than or equal to t. Then, the value of the integral 0∫1​[−8x2+6x−1]dx is equal to :2022 · MCQ
  • Let f : R → R be a differentiable function such that f(4π​)=2​,f(2π​)=0 and f′(2π​)=1 and let g(x)=∫xπ/4​(f′(t)sect+tantsectf(t))dt…2022 · MCQ