– x2 3. (9 marks) Evaluate the integral - dx use the method X =3 sino
Evaluate the following integral using the trigonometric
substitution method.
zu +9 dx x2
3. (9 marks) Evaluate the integral / V9 – 22 - 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...
Evaluate the integral. 3 4 [ rwa f(x) dx where f(x) = 15 - x2 if -3 SXO if 0<x<3
Evaluate the following integral. x² dx √ 121 + x² What substitution will be the most helpful for evaluating this integral? O A. x= 11 sec 0 O B. x= 11 tano O C. x= 11 sino Find dx. dx = dᎾ Rewrite the given integral using this substitution and simplifying. so x dx - Sodo √121 + x² Evaluate the indefinite integral. x²dx s √121+x² (Use C as the arbitrary constant.)
Use Green's Theorem to evaluate the line integral. (x - 97) dx + (x + y) dy C: boundary of the region lying between the graphs of x2 + y2 = 1 and x2 + y2 = 81 x-9
help
Evaluate the following integral. jungle In? (x²) -dx s in? (x2) -dx = (Type an integer or a simplified fraction.) X h
Evaluate the following integral. X2 + 16x-4 S*** dx x2 - 4x Find the partial fraction decomposition of the integrand. 1 * +18 x2 + 16x-4 dx = x² - 4x JOdx Evaluate the indefinite integral. *x? + 16x-4 dx = 3 х - 4x
Please show your work.
3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l to x = 4 . What method do you think you would need to use to 2 evaluate this integral analytically? Do not evaluate this integral.
3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l...
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)