dr A remarkable integral It is a fact that Jo 1+ tan" x /2 =7. for 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, 7/2] 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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dr
A remarkable integral It is a fact that Jo 1+ tan" x
/2
=7. for
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, 7/2] remains constant as m varies.
b. Use a computer algebra system to confirm that the integral is
constant for all m.
Transcribed Image Text:dr A remarkable integral It is a fact that Jo 1+ tan" x /2 =7. for 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, 7/2] 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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