It is a fact that (T/2 dx 1 + tan x 4

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It is a fact that (T/2 dx т 1 + tanfor all real numbers m.

a. Graph the integrand for m = -2, -3/2, -1, -1/2, 0, 1/2, 1, 3/2, and 2, and explain geometrically how the area under the curve on the interval [0, π/2] remains constant as m varies.

b. Use a computer algebra system to confirm that the integral is constant for all m.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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