![d? os Now us = sin (2/2) put 2= 2 sinu = da= 2 cosu du du cocos 2 cosu duon (4-22] / ESI (4-sine) 3/2 1 ssecudu tonu 4 Siton](http://img.homeworklib.com/questions/2831d5e0-fb95-11ea-97e5-4784ae2d9167.png?x-oss-process=image/resize,w_560)
![It to [-+- +] et - It to (-t-1) a let) ti it to et 긽 (0+1 = 1 col 0-1 23 123 123 123 + 1000000000 1000 1000000 1 + 123 (10) (](http://img.homeworklib.com/questions/2974ff60-fb95-11ea-84ec-47202b2cb4a1.png?x-oss-process=image/resize,w_560)

4) Evaluate dx (4 – x²) 3/2 5) Evaluate the improper integral ſxe**dx 0 6) Express...
hey thanks :0
Express the repeating decimal 0.123 as a geometric series and then use the sum of that series to express the decimal as the ration of two integers.
Question 2 please
1 and 2, determine whether or not the integral is In exercises improper. If it is improper, explain why 12. (a) 12 x-2/5 dx 「x-2/5 dx 「x2/5 dx (b) (c) I. (a) 0 13. (a 40 1 dx 2 x 14. (a In exercises 3-18, determine whether the integral converges or diverges. Find the value of the integral if it converges. 15. (a (b)人1x-4/3 dr 3, (a) l.lyMdx (b) x43 dx 16. (a 4. (a) 45 dx...
Evaluate the integral. 4) S -2x cos 7x dx Integrate the function. dx (x2+36) 3/2 5) S; 5) Express the integrand as a sum of partial fractions and evaluate the integral. 7x - 10 6) S -dx x² . 44 - 12 6)
x-5 dx. ) Evaluate the definite integral S 22-3x+2 Determine whether the improper integral S, dx converges. If convergent, find its value.
Evaluate a) integral 0 to pi (dx/5-4 cos x) b) integral 0 to infinity (dx/(1+x^2)^3)
. (5pont)Thedale integraltegralsovertherduis an improper integ da dy is an improper integral that could be defined as the limit of double integrals over the rectangle [0,t] x [0, t] as t-1. But if we expand the integrand as a geometric series, we can express the integral as the sum of an infinite series. Show that Tl 2. (5 points) Leonhard Euler was able to find the exact sum of the series in the previous problem. In 1736 he proved that...
1. Evaluate T3 2. Evaluare si cost dx TV 3. Evaluate the improper integral
Determine if the improper integral converges. integral 0 to 2 π cosx/x dx
I want to know when to use
shell method and when to use washer method. and how to evaluate the
improper integral.
1. Consider the region bounded by the graphs of f(x)-21 and g(x) 3-x2. 1.(a). (5 points) Write the integral for the volume of the solid of revolution obtained by rotating this region about the x-axis. Do not evaluate the integral. 24a). (I point) Is the integral dx an improper integral? 2.a). (1 point) Is the integral dx an...
Express the integrand as a sum of partial fractions and evaluate the integral. 48x2 s dx (x-24)(x+8)2 Express the integrand as a sum of partial fractions. S 48x? dx= (x - 24)(x+8)2 SO dx Evaluate the indefinite integral. 48x? (x - 24)(x + 8)2 dx =