Recent content by zeno23

Wait, I got it. It should just be e^u, so e^(-4*2). /facepalm Thanks again. ---------------- Thanks for the response. I've managed to arrive at the proper answer, but I don't grasp the logic completely. I start with: \int_{1}^{2} 2e^{-4x} I set u=-4x and dx=(-1/4) du, so then: -...

Homework Statement Evaluate the definite integral. Homework Equations \int_{1}^{2} ( 2e^{-4x} -\frac{1}{x^2} ) dx Answer given by the book: \frac{1}{2}(e^{-4}-e^{-8}-1) The Attempt at a Solution u = 4x; x = u/4; du = 4 dx; dx = du/4; \frac{1}{2}\int e^{-u} du - 4\int...