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Problem 70 Hard Difficulty

Evaluate the definite integral.

$ \displaystyle \int^2_0 (x - 1)e^{(x - 1)^2} \, dx $


$=\frac{1}{2} c-\frac{1}{2} c=0$

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Video Transcript

if we say that are you is equivalent to X minus one thing we know our D'You house speaker went to D acts. Therefore, our new AI is zero in our newbie is too so plugging them in negative one toe one. Okay, use the powerful which means increased the experiment by one divide by the new exponents. And this case with the E, we know we can add 1/2 of the beginning. Or in other words, we're dividing by two which is the exponents using the fundamental theorem of calculus we can now plug in. This is equivalent to zero negative one scored in one squirt of the same thing.