also they give that f'(x) is an even function and f '(-3)=f '(3)=0...
and then they say that f(0)=0, and to find the integral of f(x) from -a to a. but i dont see how any of this info helps in finding the antiderivative of f(x). how can i do that without them giving the equation for f(x)??
thanks!
and then they say that f(0)=0, and to find the integral of f(x) from -a to a. but i dont see how any of this info helps in finding the antiderivative of f(x). how can i do that without them giving the equation for f(x)??
thanks!
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The integral of an even function that passes through origin is odd
Since f'(x) is even and f(0) = 0, then f(x) is odd
Definite integral of any odd function from -a to a = 0
Since f'(x) is even and f(0) = 0, then f(x) is odd
Definite integral of any odd function from -a to a = 0
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integrate an even function twice and you get another even function. even means that the value at a is the same as -a. subtract to get 0, so that is the answer
make it a good day
make it a good day
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Area Under the curve f ' (x) with x axis gives f (x)