The area of the region bounded by the z-axis and the curve = ²t - 1, y = 1-t² equals to: [2(1-1²)e² dt - ₁2(e²t - 1)t dt √(1-1²)e² dt (2-1)-(1-6)* 2t [²√(20)² +42² # -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The area of the region bounded by the z-axis and the curve = e²t - 1, y = 1-t² equals to:
-
[2(1-²)e²¹ dt
- ₁2(e²-1)t dt
√(1-1²)
-t²)e²¹ dt
[(e²t-1)-(1-1²) di
2t
√² √ (2t)² + 4e² dt
Transcribed Image Text:The area of the region bounded by the z-axis and the curve = e²t - 1, y = 1-t² equals to: - [2(1-²)e²¹ dt - ₁2(e²-1)t dt √(1-1²) -t²)e²¹ dt [(e²t-1)-(1-1²) di 2t √² √ (2t)² + 4e² dt
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