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 (\tan^2 x + \tan^4 x) dx $
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 2
Trigonometric Integrals
Integration Techniques
Campbell University
Oregon State University
Idaho State University
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.
01:31
Evaluate the integral.…
01:30
03:22
03:43
05:58
02:24
02:36
02:02
Evaluate the integrals.
01:54
Evaluate the following int…
this problem is from Chapter seven section to problem number twenty four in the book Calculus Early. Transcendental. Lt's a tradition. My James store. Here we have an indefinite animal of Tangent Square plus tensions of the four power. So one way to proceed here suggest factor out its hand square. If we do that, we pull out its hand squared and we're left over with one plus ten square of X. And now we can apply our path. Agron Identities too. Rewrite one plus tan squared is sequence where at this point, we can apply u sub Let's take you two be tangent of X so that do you is sick and scared of x e x So here the sea cans Word of the X That's our do you in this tan square of X, this is Wilby. You squared so that our interval becomes you. Swear to you. Okay, we can use the power all to evaluate this General factions becomes you cued over three plus e and then we could These are useless institution toe back, substitute from you back in terms of X. So us you cue becomes Tan Cube X. We have to divide that by three and then we are see and there's our answer
View More Answers From This Book
Find Another Textbook
01:10
'Write your answer in the simplest form:
iis8 +z + f8 +3 …
01:33
'Compute the product: . Simplify your answer.
3n +7n7n ~ 4)…
00:27
(5 6u + 5u" + 7…
00:56
'Solve for a: and please simplify your answer.
0 = 93 + %3…
00:55
'Evaluate at . Please simplify your answer
Jg 8 = ng +'…
01:05
'What is the value of
i8 X 6 + (6 + &)'
08:22
'Particle Motion In Exercises 93-98, the velocity function, in feet per…
01:23
'How doy you verify cos? (c) eln" (@) = 1 _ Zein" …
02:19
'What is the y-intercept of the quadratic function ?fle) = (-8}66 =…
'Choose the graph below that correctly represents the equation . A…