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Calculus 2: Arc length

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All Calculus 2Volumes of Solids of RevolutionIntegration by PartsTrigonometric IntegralsTrigonometric substitutionPartial fractionsImproper integralsStrategy for integrationArc lengthArea of a surface of revolutionIntroduction to differential equationsSeparable differential equationsLinear differential equationsParametrized curvesPolar coordinatesSequencesSeries and the integral testComparison testsAlternating series and absolute convergenceRatio and root testsPower series and representations of functionsTaylor and Maclaurin seriesApplications of Taylor polynomials
Arc Length and Surface Area of Rotated Curve

Given x=−y2+4yx = -y^2 + 4y, find the arc length from y=0y = 0 to y=4y = 4 and the surface area when the arc is rotated about the x-axis and y-axis.

Arc lengthHardVideo