Math Problem Statement
4x2 − 3x + 4
/x3 + 4x
dx
.
Solution
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Math Problem Analysis
Mathematical Concepts
Integration
Partial Fractions
Substitution
Trigonometric Integrals
Formulas
∫ (A/x + (Bx + C)/(x^2 + 4)) dx
∫ 1/x dx = ln|x|
∫ x/(x^2 + a^2) dx = 1/2 ln(x^2 + a^2)
∫ 1/(x^2 + a^2) dx = 1/a arctan(x/a)
Theorems
Partial Fraction Decomposition
Substitution Rule
Standard Trigonometric Integrals
Suitable Grade Level
College/Advanced High School (Grades 11-12 and beyond)
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