A calculus problem by Upanshu Gupta

Calculus Level 4

Consider the curve \(y={ e }^{ -x }\) in the first quadrant. Now it's rotated about the \(x\text{-axis}\) to obtain a solid of revolution. What is its surface area to 4 decimal places?

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A calculus problem by Upanshu Gupta

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.