∫ \int Even = Odd

Calculus Level 2

True or false :

The indefinite integral of an even function is an odd function.

True False

Yash Dev Lamba by Yash Dev Lamba , 23, India

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1 solution

Yash Dev Lamba
Feb 27, 2016

For example

Let f ( x ) f(x) = x 2 x^{2}

primitive will be x 3 3 \frac{x^{3}}{3} + C C

which is not an odd function for non-zero C C

2 Helpful 0 Interesting 0 Brilliant 0 Confused

If c is zero, then??

Puneet Pinku - 4 years, 8 months ago

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