![STATEMENT 1: int_a^xf(t)dt is an even function if f(x) is an odd function. STATEMENT 2: int_a^xf(t)dx is an odd function if f(x) is an even function. STATEMENT 1: int_a^xf(t)dt is an even function if f(x) is an odd function. STATEMENT 2: int_a^xf(t)dx is an odd function if f(x) is an even function.](https://static.doubtnut.com/q-thumbnail/34747.png)
STATEMENT 1: int_a^xf(t)dt is an even function if f(x) is an odd function. STATEMENT 2: int_a^xf(t)dx is an odd function if f(x) is an even function.
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IIT JEE - Definite Integration of a Neither Odd Nor Even Function - 2 (in Hindi) Offered by Unacademy
![Prove that : ∫a−a f(x)dx=2∫a0f(x)dx , = 0, if f (x) is an odd function. - Mathematics and Statistics | Shaalaa.com Prove that : ∫a−a f(x)dx=2∫a0f(x)dx , = 0, if f (x) is an odd function. - Mathematics and Statistics | Shaalaa.com](https://www.shaalaa.com/images/_4:ec194f912098452ab0143b2087a35579.png)
Prove that : ∫a−a f(x)dx=2∫a0f(x)dx , = 0, if f (x) is an odd function. - Mathematics and Statistics | Shaalaa.com
![Symmetric functions and definite integrals. Having trouble understanding the proof. - Mathematics Stack Exchange Symmetric functions and definite integrals. Having trouble understanding the proof. - Mathematics Stack Exchange](https://i.stack.imgur.com/0UjgP.png)
Symmetric functions and definite integrals. Having trouble understanding the proof. - Mathematics Stack Exchange
![SOLVED:2_ A function f is called even if f(-x) = f(z) on the domain of f For example, f(x) = x2 and g(z) = cos(x) are even functions A function f is SOLVED:2_ A function f is called even if f(-x) = f(z) on the domain of f For example, f(x) = x2 and g(z) = cos(x) are even functions A function f is](https://cdn.numerade.com/ask_images/3b7591e91b40413d80778600efd53a97.jpg)