Evaluating an Improper Integral In Exercises 33-48, determine whether the improper integraldiverges or converges. Evaluate the integral if itconverges, and check your results with the resultsobtained by using the integration capabilities of agraphing utility. ∫ 0 2 1 x − 1 3 d x
Evaluating an Improper Integral In Exercises 33-48, determine whether the improper integraldiverges or converges. Evaluate the integral if itconverges, and check your results with the resultsobtained by using the integration capabilities of agraphing utility. ∫ 0 2 1 x − 1 3 d x
Solution Summary: The author analyzes whether the improper integral displaystyle 'int' converges or diverges.
Evaluating an Improper Integral In Exercises 33-48, determine whether the improper integraldiverges or converges. Evaluate the integral if itconverges, and check your results with the resultsobtained by using the integration capabilities of agraphing utility.
∫
0
2
1
x
−
1
3
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
4х+2
Evaluate the integral
dx. (Hint: Use Algebra to help further rewrite your
(x² +1)(x-1)
fractions).
Concept Check: Evaluate the following integrals:
1. f(x¹ - 5x³+6) dx
dv
2./-(1-3)* do
3. fz¹ √/325-5dz
2*) Showing all work, perform the given integral:
| Vtan a(sec“ r)dr
3) Showing all work, and using integration by parts, perform the integral:
| cos (In(x))dr
Hint: This is a composition of functions, not a product. Use two tricks and watch your signs
carefully
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