1. Pikachu contends that regardless of the specific problem involving finding the volume by rotating a curve, you can consistently apply either the washer or shell method. Is Pikachu's assertion correct? Explain. 2. Answer the following. Explain in DETAIL your reasoning, use specific examples to prove your point. 1. Any integral solvable through the use of partial fractions can unfailingly be solved using trigonometric substitution. Is this statement accurate? Please explain 2. Any integral solvable using trigonometric substitution can invariably be solved using partial fractions. Is this statement accurate? Please provide an explanation. 3. Let R be the region bounded by y = x2, x = 1, and, y = 0. Use the shell method to find the volume of the solid generated when R is revolved about the following lines. 1. x = -2 2. x = 2 3. y = -2 4. y = -2 4. Find the arc length 1. f (x) = Vt2 - x2, 0