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Evaluate the integral.

$ \displaystyle \int \frac{d \theta}{1 + \cos \theta} $

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Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 5

Strategy for Integration

Integration Techniques

Missouri State University

Harvey Mudd College

Boston College

Lectures

01:53

In mathematics, integration is one of the two main operations in calculus, with its inverse, differentiation, being the other. Given a function of a real variable, an antiderivative, integral, or integrand is the function's derivative, with respect to the variable of interest. The integrals of a function are the components of its antiderivative. The definite integral of a function from a to b is the area of the region in the xy-plane that lies between the graph of the function and the x-axis, above the x-axis, or below the x-axis. The indefinite integral of a function is an antiderivative of the function, and can be used to find the original function when given the derivative. The definite integral of a function is a single-valued function on a given interval. It can be computed by evaluating the definite integral of a function at every x in the domain of the function, then adding the results together.

27:53

In mathematics, a technique is a method or formula for solving a problem. Techniques are often used in mathematics, physics, economics, and computer science.

01:27

Evaluate the indefinite in…

01:50

Evaluate the integrals.

02:17

Find or evaluate the integ…

03:17

04:36

03:07

14:13

Evaluate the integral.…

Evaluate the following int…

here. Let's good and multiply by one minus co sign and then we have one minus co sign and then here on the bottom. You should get one minus co sign squared, and that's equal to science work. So from there, let's just split this into two. Look, Quinn, and then we can go ahead and rewrite thes and liberals. There's something we recognize, so that's Kosi can square. And then here I write this as coasts and over sign and then one over sign. So that becomes Cose Engine because he can. And then here we have. We know these for the table, great and your constancy, and that's our answer.

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