Recall that if F(x) is an antiderivative of f(x), then so is any function of the form F(x) + C, where C is an arbitrary constant. Since we can use any antiderivative to evaluate the definite integral, it is easiest to use the antiderivative with a constant term of 0. It is not easy to directly find an antiderivative of f(x) = long division.) x²-9 1 + x² x2-9+1-1 1 + x² (x²+1) - 1 1+x² 1+x² x x²-9 1+x2' so we can algebraically manipulate it by adding and subtracting the number 1 in the numerator. (We get the same results if we perform It will be easier to find the antiderivative of f(x) in this form.
Recall that if F(x) is an antiderivative of f(x), then so is any function of the form F(x) + C, where C is an arbitrary constant. Since we can use any antiderivative to evaluate the definite integral, it is easiest to use the antiderivative with a constant term of 0. It is not easy to directly find an antiderivative of f(x) = long division.) x²-9 1 + x² x2-9+1-1 1 + x² (x²+1) - 1 1+x² 1+x² x x²-9 1+x2' so we can algebraically manipulate it by adding and subtracting the number 1 in the numerator. (We get the same results if we perform It will be easier to find the antiderivative of f(x) in this form.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 36E
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 4 images
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage