Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Question

Answered step-by-step

Evaluate the integral.

$ \displaystyle \int \theta \tan^2 \theta\ d \theta $

Video Answer

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

Like

Report

Official textbook answer

Video by J Hardin

Numerade Educator

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 5

Strategy for Integration

Integration Techniques

Missouri State University

Oregon State University

Harvey Mudd 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.

03:32

02:18

Evaluate the integral.…

01:36

00:32

Evaluate the indefinite in…

0:00

04:20

01:30

03:10

01:03

00:37

Find the indefinite integr…

let's use by parts here. Neuticles Data, D'Oh and then for Devi. So then, from here, we need to integrate chance. Where's so Use one of the Pythagorean identities to rewrite this. And then we have cantina minus data. So recall the formula for parts U V minus integral B to you. So let's plug in our U and V and then minus in a girl. And that here we have tan theta minus Dana and then data and will simplify that in a roll of ten. That's natural. Log absolute value. See, Cam. And then here you have a double minus so that'LL be plus and then finally just combine this with this and that's our answer.

View More Answers From This Book

Find Another Textbook

04:22

A rancher wants to fence in a rectangular area of 235224 square feet and the…

01:52

A bacterial cell has a spherical shape. If the volume of thecell is increasi…

05:42

Find the points on the ellipse x^2 + 4y^2 = 4 that are farthest away from th…

05:06

A vending machine has capacity to carry 500 cans of soda. At aprice of $0.50…