Search
- Filter Results
- Location
- Classification
- Include attachments
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_II%3A_Integral_Calculus/03%3A_Techniques_of_Integration/3.06%3A_Numerical_Integration/3.6E%3A_Exercises_for_Section_3.6This page provides exercises on approximating integrals using numerical methods like the midpoint rule, trapezoidal rule, and Simpson's rule, detailing specific integrals, subdivisions, and formats fo...This page provides exercises on approximating integrals using numerical methods like the midpoint rule, trapezoidal rule, and Simpson's rule, detailing specific integrals, subdivisions, and formats for answers. It discusses the importance of numerical methods alongside the Fundamental Theorem of Calculus and includes tasks on estimating errors, arc lengths, and areas under curves. The text also features example calculations and a sample problem using coordinates to estimate land area.
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_II%3A_Integral_Calculus/01%3A_Integration/1.07%3A_Integrals_Resulting_in_Inverse_Trigonometric_Functions/1.7E%3A_Exercises_for_Section_1.7This page presents exercises on evaluating integrals, emphasizing inverse trigonometric functions and substitutions. It includes definite integrals with solutions, techniques for finding antiderivativ...This page presents exercises on evaluating integrals, emphasizing inverse trigonometric functions and substitutions. It includes definite integrals with solutions, techniques for finding antiderivatives, and addresses undefined integrals. The text also covers integral calculations involving trigonometric and exponential functions, detailing methods to determine constants for definite integrals.
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_II%3A_Integral_Calculus/03%3A_Techniques_of_Integration/3.05%3A_Other_Strategies_for_Integration/3.5E%3A_Exercises_for_Section_3.5This page presents exercises for evaluating integrals, featuring specific integral problems with solutions, including logarithmic, arctangent, and hyperbolic functions. It includes methods for calcula...This page presents exercises for evaluating integrals, featuring specific integral problems with solutions, including logarithmic, arctangent, and hyperbolic functions. It includes methods for calculating areas and volumes from curves, along with instructions for confirming results using calculators. The document is attributed to OpenStax and encompasses both definite and indefinite integrals.
- https://math.libretexts.org/Courses/De_Anza_College/Introductory_Differential_Equations/01%3A_First_Order_ODEs/1.06%3A_Linear_Equations_and_the_Integrating_Factor/1.6E%3A_Exercises_for_the_section_1.6These are homework exercises to accompany Libl's "Differential Equations for Engineering" Textmap. This is a textbook targeted for a one semester first course on differential equations, aimed at engin...These are homework exercises to accompany Libl's "Differential Equations for Engineering" Textmap. This is a textbook targeted for a one semester first course on differential equations, aimed at engineering students. Prerequisite for the course is the basic calculus sequence.
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_II%3A_Integral_Calculus/03%3A_Techniques_of_IntegrationIt is no surprise, then, that techniques for finding antiderivatives (or indefinite integrals) are important to know for everyone who uses them. We have already discussed some basic integration formul...It is no surprise, then, that techniques for finding antiderivatives (or indefinite integrals) are important to know for everyone who uses them. We have already discussed some basic integration formulas and the method of integration by substitution. In this chapter, we study some additional techniques, including some ways of approximating definite integrals when normal techniques do not work.
- https://math.libretexts.org/Courses/De_Anza_College/Calculus_II%3A_Integral_Calculus/01%3A_Integration/1.02%3A_The_Definite_Integral/1.2E%3A_Exercises_for_Section_1.2This page summarizes exercises on expressing limits as integrals, evaluating definite integrals, and analyzing properties of functions using techniques like Riemann sums. It covers computing areas und...This page summarizes exercises on expressing limits as integrals, evaluating definite integrals, and analyzing properties of functions using techniques like Riemann sums. It covers computing areas under curves, calculating average values for functions, and applying properties of odd and even functions in integrals.
