Home
Class 12
MATHS
Statement I Integral of an even function...

Statement I Integral of an even function is not always an odd function. Statement II Integral of an odd function is an even function .

A

Statement I is true, Statement II is also true , Statement II is the correct explanation of Statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.

C

Statement I is true, Statement II is false.

D

Statement I is false, Statement II is true .

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|11 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise 5 ( Matching Type Questions )|2 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|5 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

True or False : Derivative of an even function is always an odd function.

If f(x) is an even function, state whether f'(x) is an odd function or an even function.

Left hand derivative and right hand derivative of a function f(x) at a point x=a are defined as f'(a^-)=lim_(hrarr0^(+))(f(a)-f(a-h))/(h) =lim_(hrarr0^(+))(f(a+h)-f(a))/(h) andf'(a^(+))=lim_(hrarr0^(+))(f(a+h)-f(a))/(h) =lim_(hrarr0^(+))(f(a)-f(a+h))/(h) =lim_(hrarr0^(+)) (f(a)-f(x))/(a-x) respectively. Let f be a twice differentiable function. We also know that derivative of a even function is odd function and derivative of an odd function is even function. If f is even function, which of the following is right hand derivative of f' at x=a?

Which of the following functions is an odd function?

Integrate the function : x sinx

Integrate the functions: xtan^-1x

True or False statements: A one-one function is always an increasing function.

Integrate the function : x^2 e^x

Integrate the function: x sec^2x