To prove: The equation ∫ a b y d x = ∫ t 1 t 2 g ( t ) f ′ ( t ) d t when y = g ( t ) and x = f ( t ) , a ≤ x ≤ b and f ( t 1 ) = a , f ( t 2 ) = b both the functions g and f ′ are continuous on [ t 1 , t 2 ] .

BuyFind

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275347
BuyFind

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781337275347

Solutions

Chapter 10.3, Problem 77E
To determine

To prove: The equation abydx=t1t2g(t)f(t)dt when y=g(t) and x=f(t), axb and f(t1)=a,f(t2)=b both the functions g and f are continuous on [t1,t2].

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