This 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.
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 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.