Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2014MathematicsContinuity and Differentiability

The value of the integral _ - 4 ^ 4 ( - ) d is

Options

  1. A( I I 4 )
  2. B( I 2 )
  3. C( 00 )
  4. D( I I )

Correct answer

C. ( 00 )

Step-by-step solution

Given that I- _ - / 4 ^ / 4 ( - ) d -0 Since, ( - ) is an odd function and, if f( )= ( - ) then, f(- )= [ + ]=- ( - )=-f( )

Practice Continuity and Differentiability on Quantrex Academy →

More from Continuity and Differentiability

The function f(x) = |x| + |x - 1| is: 2026If f(x) = cases 1+x - 1-x x , & x 0 k, & x = 0 cases is continuous at x = 0 , then k = 2026The function y = ||x| - 1| is differentiable for all values of ' x ' except 2026Let f : R R be the function given by f(x) = |x - 2| + 3|x - 1| + ||x - 2| - 1| . What is the number of points where f is NOT differentiable? 2026For real numbers a and b , consider the function f : R R given by f(x) = cases -ax - b & if x 1. cases How many pairs (a, b) are there for which f is continuous at every point of R 2026If f(x) = cases ax + 7 & if x 1 cases is continuous at x = 1 , then 2026If the function f(x) defined by f(x) = cases ax + 1 & if x 3 bx + 3 & if x > 3 cases is continuous at x = 3 , then (a - b) = .......... 2026Let [x] denotes the greatest integer less than or equal to x and f(x) = [ ^2 x] , then which of the following is true ? 2026 Full Continuity and Differentiability list All KCET PYQs