Consider the following indefinite integral. ∫6x^3+3x^2−46x−21/(x^2−9) dx The integral decomposes onto the form: ax+b+ c/x-3 + d/x+3 Compute the coefficients: a= b= c= d= Now integrate term by term to evaluate the integral. Answer _________________+C

Consider the following indefinite integral. ∫6x^3+3x^2−46x−21/(x^2−9) dx The integral decomposes onto the form: ax+b+ c/x-3 + d/x+3 Compute the coefficients: a= b= c= d= Now integrate term by term to evaluate the integral. Answer _________________+C

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.2: Exponents And Radicals

Problem 31E

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Question

Consider the following indefinite integral.

∫6x^3+3x^2−46x−21/(x^2−9) dx

The integral decomposes onto the form:

ax+b+ c/x-3 + d/x+3

Compute the coefficients:

Now integrate term by term to evaluate the integral.

Answer _________________+C

бх3 + За? — 46х - 21
dx
x2 – 9
The integrand decomposes into the form:
d
ax + b +
3
x + 3
Compute the coefficients:
a =
b =
С —
d =
Now integrate term by term to evaluate the integral.
Answer:
+ C

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.

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