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Evaluate the given integral.$$\int_{4}^{9} \frac{\frac{1}{\sqrt{x}}-2}{x-\sqrt{x}} d x$$

$$-2 \ln 3$$

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 7

Substitution and Properties of Definite Integrals

Integrals

Missouri State University

Baylor University

University of Michigan - Ann Arbor

Lectures

05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

01:46

Evaluate the indefinite in…

01:03

Evaluate the definite inte…

01:26

0:00

4/Evaluate the integral.

01:51

Evaluate the following pro…

the given integer is Square root of nine negative of forex is 12. In this question. We need to solve the given intrigue and find the value. So first we write the given interval as follows. One divided by World of nine negative of products can be done when divided by oh, integration of undivided nine divided by two negative. And it can be done as integration of one divided by two when you are by two days to the power to negative narratives. So we know that the general formula integration, which is a square negative airports too sign universe of X divided by eight. Here she is the Washington. So when we compare so we get equals to three by two and X equals to X. So the integration of the given integral is one divided by two sine inverse of excavated by. Okay, say bye to just see that means the solution of the given intrigue. A list When divided by two signing verso we will do hereby today. Let's see.

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