2. Suppose that h(x) is a continuous function, h(-1/4) = 1/2, h(7/4) = 1 and h(2)dx = 2. Evaluate the definite integral 7/4 | sec?(-t) · h(tan(-t)) dt. -T/4

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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2. Suppose that h(x) is a continuous function,
h(-1/4) = 1/2, h(T/4) = 1 and
h(x)dx = 2.
Evaluate the definite integral
/4
| sec (-t) · h(tan(-t)) dt.
-T/4
Transcribed Image Text:2. Suppose that h(x) is a continuous function, h(-1/4) = 1/2, h(T/4) = 1 and h(x)dx = 2. Evaluate the definite integral /4 | sec (-t) · h(tan(-t)) dt. -T/4
Expert Solution
Step 1

Here, given that h-π4=12, hπ4=1 & -11h(x)dx=2...(1)

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