Substitution u = x² made in the integral L2 =1+dx verifies that the length of the second segment is equal tothe length of the first segment: L1 = / V4x + Idx.Substitution u = Vi made in the integral L2 =|1+dx verifies that the length of the second segment is equal to4xthe length of the first segment: L1 =| V4x + Idx.Substitution u = made in the integral L2 =1 +dx verifies that the length of the second segment is equal to4xthe length of the first segment: L =I V4x + Idx. Consider the curve segments:S1: y = x* from x =to x = 2 andS2: y = Va from x =; to.x = 4.Set up integrals that give the arc lengths of the curve segments by integrating with respect to x. Demonstrate a substitution thatverifies that these two integrals are equal.Substitution u = 2x made in the integral L2 =|1+dx verifies that the length of the second segment is equal to4xthe length of the first segment: L1 = / V4x + Idx.Substitution u = Vi made in the integral L2 =1+2xdx verifies that the length of the second segment is equal tothe length of the first segment: L, =/ V2r + Idx.

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Consider the curve segments: 1 S1: y = x from x = to x = 2 and 2. %3D S2: y = Väfrom x = to x = 4. Set up integrals that give the arc lengths of the curve segments by integrating with respect to x. Demonstrate a substitution that verifies that these two integrals are equal. Substitution u = 2x made in the integral L2 = |1+dx verifies that the length of the second segment is equal to 4x the length of the first segment: L1 = / V4x + Idx. Substitution u = Vämade in the integral L2 = 1+ dx verifies that the length of the second segment is equal to 2r the length of the first segment: Li = 2x+ Idx.

Consider the curve segments: 1 S1: y = x from x = to x = 2 and 2. %3D S2: y = Väfrom x = to x = 4. Set up integrals that give the arc lengths of the curve segments by integrating with respect to x. Demonstrate a substitution that verifies that these two integrals are equal. Substitution u = 2x made in the integral L2 = |1+dx verifies that the length of the second segment is equal to 4x the length of the first segment: L1 = / V4x + Idx. Substitution u = Vämade in the integral L2 = 1+ dx verifies that the length of the second segment is equal to 2r the length of the first segment: Li = 2x+ Idx.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.3: Area And The Definite Integral

Problem 21E

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