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

2021 · 18 Mar · Shift 1 · Q41
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Definite Integration
  5. /2021 · 18 Mar · Shift 1 · Q41

Definite Integration question

2021 · 18 Mar · Shift 1 · Q41

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1
Let f(x) and g(x) be two functions satisfying f(x2) + g(4 −-− x) = 4x3 and g(4 −-− x) + g(x) = 0, then the value of ∫−44f(x)2dx\int\limits_{ - 4}^4 {f{{(x)}^2}dx}−4∫4​f(x)2dx is
Numerical answer
PreviousNext

More from Definite Integration

  • Let g(x) = ∫0x​f(t)dt, where f is continuous function in [ 0, 3 ] such that 31​≤ f(t) ≤ 1 for all t ∈[0, 1] and 0 ≤ f(t) ≤21​ for all t ∈ (1, 3]. The largest possible interval in which…2021 · MCQ
  • Let P(x) be a real polynomial of degree 3 which vanishes at x = − 3. Let P(x) have local minima at x = 1, local maxima at x = − 1 and −1∫1​P(x)dx = 18, then the sum of all the coefficients of the polynomial P(x) is…2021 · Numerical
  • Let a be a positive real number such that ∫0a​ex−[x]dx=10e−9 where [ x ] is the greatest integer less than or equal to x. Then a is equal to:2021 · MCQ
  • The value of the integral −1∫1​loge​(1−x​+1+x​)dx is equal to:2021 · MCQ
  • If [x] denotes the greatest integer less than or equal to x, then the value of the integral ∫−π/2π/2​[[x]−sinx]dx is equal to :2021 · MCQ
  • If the real part of the complex number (1−cosθ+2isinθ)−1 is 51​ for θ∈(0,π), then the value of the integral ∫0θ​sinxdx is equal to:2021 · MCQ
  • Let g(t)=∫−π/2π/2​cos(4π​t+f(x))dx, where f(x)=loge​(x+x2+1​),x∈R. Then which one of the following is correct?2021 · MCQ
  • If 0∫100π​e(πx​−[πx​])sin2x​dx=1+4π2απ3​,α∈R where [x] is the greatest integer less than or…2021 · MCQ