Math Problem Statement

To compute the indefinite integral

∫(6x^4+9/x^2+1)dx

a) Perform the long division to get

6x^4+9/x^2+1=A(x)+B(x)/x^2+1

where A(x) and B(x) are two polynomials in x or constants.

Answer:

A(x)=?

B(x)=?

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Polynomial Long Division
Integration of Rational Functions

Formulas

Indefinite Integral: ∫f(x) dx
Polynomial Long Division: Dividend = Quotient * Divisor + Remainder

Theorems

Fundamental Theorem of Calculus
Polynomial Long Division Theorem

Suitable Grade Level

Grades 11-12