The Washer Method Worksheet with Answer Key

What's on the worksheet

1. Each region lies between the two curves and is revolved about the x-axis.
   y = x + 2 and y = x^2y = e^{x} and y = e^{-x} for 0 \le x \le \ln 2y = 2\cos x and y = \sec x for 0 \le x \le \dfrac{\pi}{4}
2. The region bounded by y = 4x, the line y = 4 and the line x = 4 is revolved about the y-axis.
3. x y y = \sqrt{x} y = \dfrac{x}{2} The region S between y = √(x) and y = x2 is shown in the figure.
4. x y y = x² y = 2 - x x = 2 The region in the first quadrant bounded by y = x², the line y = 2 - x and the y-axis is shown in the figure.