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

2024 · 9 Apr · Shift 2 · Q36
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Definite Integration
  5. /2024 · 9 Apr · Shift 2 · Q36

Definite Integration question

2024 · 9 Apr · Shift 2 · Q36

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1
The integral ∫1/43/4cos⁡(2cot⁡−11−x1+x)dx\int_{1 / 4}^{3 / 4} \cos \left(2 \cot ^{-1} \sqrt{\frac{1-x}{1+x}}\right) d x∫1/43/4​cos(2cot−11+x1−x​​)dx is equal to
  1. A
    −1/2-1/2−1/2
  2. B
    −1/4-1/4−1/4
  3. C
    1/4
  4. D
    1/2
PreviousNext

More from Definite Integration

  • limx→2π​​((x−2π​)2∫x3(π/2)3​(sin(2t1/3)+cos(t1/3))dt​) is equal to2024 · MCQ
  • The value of the integral ∫−12​loge​(x+x2+1​)dx is2024 · MCQ
  • If 0∫1​3+x​+1+x​1​ dx=a+b2​+c3​, where a,b,c are rational numbers, then 2a+3 b−4c is equal…2024 · MCQ
  • If (a,b) be the orthocentre of the triangle whose vertices are (1,2),(2,3) and (3,1), and I1​=a∫b​xsin(4x−x2)dx,I2​=a∫b​sin(4x−x2)dx…2024 · MCQ
  • For 0<a<1, the value of the integral 0∫π​1−2acosx+a2dx​ is :2024 · MCQ
  • Let f(x)=0∫x​g(t)loge​(1+t1−t​)dt, where g is a continuous odd function. If ∫−π/2π/2​(f(x)+1+exx2cosx​)dx=(απ​)2−α…2024 · Numerical
  • x→2π​lim​​(x−2π​)21​x3∫(2π​)3​cos(t31​)dt​ is equal to2024 · MCQ
  • If the value of the integral ∫−2π​2π​​(1+πxx2cosx​+1+esinx21231+sin2x​)dx=4π​(π+a)−2, then the value of a is2024 · MCQ