Question
2 The arclength of y 3x 1 from x 0 to x 3 is given by OL OL OL Jo 1 36xdx 0 3 OL
2 The arclength of y 3x 1 from x 0 to x 3 is given by OL OL OL Jo 1 36xdx 0 3 OL 3 fo f 6 da OL 3 1 6x da 0 Using the substitution u 6x to re write the integral in terms of u yields 18 1 OL VI 3u du 0 OL OL 3 6 1 1 36x2dx 6 1 3u du 18 u du 0 18 1 62 6 18 1 16 00 1 udu 1 6udu The value of this integral is
2 The arclength of y 3x 1 from x 0 to x 3 is given by OL OL OL Jo 1 36xdx 0 3 OL 3 fo f 6 da OL 3 1 6x da 0 Using the substitution u 6x to re write the integral in terms of u yields 18 1 OL VI 3u du 0 OL OL 3 6 1 1 36x2dx 6 1 3u du 18 u du 0 18 1 62 6 18 1 16 00 1 udu 1 6udu The value of this integral is
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Algebra and Trigonometry
Authors: Ron Larson
10th edition
978-1337271172
