(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

if the integral from 0 to 4 of f(x) = -1

then what is the integral from -2 to 0 of x[f(x^2)]?

2. Relevant equations

n/a

3. The attempt at a solution

my first instinct is that this is an even/odd definition of an integral problem. the x squared in the function makes it even, which means its symmetrical over the y axis and thus you can double the area.

however, the x which is being multiplied by f(x^2) is confusing me as is the fact that 0 to 4 isnt the same as -2 to 2 (the symmetrical part).

can someone help me out? thanks.

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# Definite integral

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