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1. Evaluate the following integral. + 4x + 9x + 13 x +x+4 xp- + 4x + 9x + 13 dx = x* +x+4

1. Evaluate the following integral. + 4x + 9x + 13 x +x+4 xp- + 4x + 9x + 13 dx = x* +x+4

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Evaluate the following integral:** \[ \int \frac{x^3 + 4x^2 + 9x + 13}{x^2 + x + 4} \, dx \] **Solution:** \[ \int \frac{x^3 + 4x^2 + 9x + 13}{x^2 + x + 4} \, dx = \underline{\qquad \qquad \qquad} \] In this exercise, you are tasked with determining the integral of a rational function where the numerator is a cubic polynomial and the denominator is a quadratic polynomial. Consider using polynomial long division or partial fraction decomposition to solve this integral.
Transcribed Image Text:**Evaluate the following integral:** \[ \int \frac{x^3 + 4x^2 + 9x + 13}{x^2 + x + 4} \, dx \] **Solution:** \[ \int \frac{x^3 + 4x^2 + 9x + 13}{x^2 + x + 4} \, dx = \underline{\qquad \qquad \qquad} \] In this exercise, you are tasked with determining the integral of a rational function where the numerator is a cubic polynomial and the denominator is a quadratic polynomial. Consider using polynomial long division or partial fraction decomposition to solve this integral.
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\int \:\frac{x^3+4x^2+9x+13}{x^2+x+4}dx

take long division

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