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

2020 · 8 Jan · Shift 2 · Q28
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Definite Integration
  5. /2020 · 8 Jan · Shift 2 · Q28

Definite Integration question

2020 · 8 Jan · Shift 2 · Q28

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
If I=∫12dx2x3−9x2+12x+4I = \int\limits_1^2 {{{dx} \over {\sqrt {2{x^3} - 9{x^2} + 12x + 4} }}}I=1∫2​2x3−9x2+12x+4​dx​, then :
  1. A
    116<I2<19{1 \over 16} \lt {I^2} \lt {1 \over 9}161​<I2<91​
  2. B
    18<I2<14{1 \over 8} \lt {I^2} \lt {1 \over 4}81​<I2<41​
  3. C
    19<I2<18{1 \over 9} \lt {I^2} \lt {1 \over 8}91​<I2<81​
  4. D
    16<I2<12{1 \over 6} \lt {I^2} \lt {1 \over 2}61​<I2<21​
PreviousNext

More from Definite Integration

  • The value of 0∫2π​sin8x+cos8xxsin8x​dx is equal to :2020 · MCQ
  • If for all real triplets (a, b, c), ƒ(x) = a + bx + cx2; then 0∫1​f(x)dx is equal to :2020 · MCQ
  • Let a function ƒ : [0, 5] → R be continuous, ƒ(1) = 3 and F be defined as : F(x)=1∫x​t2g(t)dt, where g(t)=1∫t​f(u)du Then for the function F, the point x = 1 is :2020 · MCQ
  • If f(x)=2+xcosx2−xcosx​ and g(x) = logex, (x > 0) then the value of integral −4π​∫4π​​g(f(x))dx is2019 · MCQ
  • Let f(x)=0∫x​g(t)dt where g is a non-zero even function. If ƒ(x + 5) = g(x), then 0∫x​f(t)dt equals-2019 · MCQ
  • The value of 0∫π/2​sinx+cosxsin3x​dx is2019 · MCQ
  • The value of the integral 0∫1​xcot−1(1−x2+x4)dx is :-2019 · MCQ
  • If f : R → R is a differentiable function and f(2) = 6, then x→2lim​(x−2)6∫f(x)​2tdt​ is :-2019 · MCQ