>>1353142It's not the same... if the function changes signs within the interval. It IS the same if the function is of the same sign throughout the interval. If a function interval is positive, it's trivial. If it's negative, flipping the sign of the negative area of the function is the same as the positive area of the mirrored function. In the image - red and blue areas.
Just break the integral into the intervals of -1 to 0 with the abs gone, and 0 to 1 with a negative sign. Solve.
>>1353137-3 to -2 positive, -2 to 0 negative.