Integration I PDF
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These notes cover integration, including indefinite integrals, which include a constant of integration. They also explain definite and improper integration, offering a solid introduction to the topic. The notes contain diagrams and examples of integral problems useful for understanding the fundamentals of calculus.
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INTERGRATION A B C D What's is the connection between them? Reverse process of differentiation. Given We write denotes indefinite integral of f(x) with respect to x. to be integrated is called the integrand. is called anti-derivative of , is cons...
INTERGRATION A B C D What's is the connection between them? Reverse process of differentiation. Given We write denotes indefinite integral of f(x) with respect to x. to be integrated is called the integrand. is called anti-derivative of , is constant of integration. STANDARD INTERGRALS Integrals for expression in the form of , What happens if If Let Hence, Thus, Integrals of the form Eg So far, we have dealt with indefinite integrals. Indefinite integrals are integrals which include ‘+c’, where c can be any constant number. We can find a numerical value for an integral if we are given the upper limit and the lower limit. A definite integral and is defined as follows: where the constant is the lower limit and the constant is the upper limit, i.e.. IMPROPER INTEGRALS - definite integral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration. when when THANK YOU
