Lecture8-slides-AreasBetweenCurves.pdf - Lecture 8 Warm-up Problem Evaluate the following integrals Z 4 1 \u221a dx 1 4\u2212x 0 Z \u03c0\/2 2 sec(\u03b8 d\u03b8 0 I Quiz

# Lecture8-slides-AreasBetweenCurves.pdf - Lecture 8 Warm-up...

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Lecture 8 Warm-up Problem Evaluate the following integrals. 1. Z 4 0 1 4 - x dx 2. Z π/ 2 0 sec( θ ) d θ I Quiz 4: Approximation ( § 6.5), Improper Integrals ( § 6.6), Areas ( § 7.1)
Calculus 2 (Math-UA-122) Fall 2018 Worksheet 7 Integrals over infinite intervals 1. Evaluate the following integrals.(a)11x1.001dx(b)1ln(x)xdx(c)22x2-1dxIntegrals involving discontinuous integrands 2. Evaluate the following integrals. (a)04-xdx(b)π/20sec(θ) 4 1 3. Determine if the following integrals are convergent. You can either evaluate the inte-grals directly or use the comparison test.(a)112x2+ 3x+ 4dx(b)π/20cot(θ).(Hint: sin(x)< xand cos(x)<1.)(c)31x2-3dx.(d)0sin(θ)π-θ. 1
Lecture 8 I Computing Areas ( § 7.1)
Example 1Find the area of the region between the graphs of the functionsf(x) =x2-4x+ 10,g(x) = 4x-x2,1x3.