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
First make a substitution and then use integration by parts to evaluate the integral.
$ \displaystyle \int_{\sqrt{\frac{\pi}{2}}}^{\sqrt{\pi}} \theta^3 \cos (\theta^2) 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 Wen Zheng
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 1
Integration by Parts
Integration Techniques
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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.
07:46
First make a substitution …
04:48
02:07
Use two or more substituti…
02:05
$33-38$ First make a subst…
02:16
Integrate: $\int \frac{\co…
02:56
Use integration by substit…
01:49
Use the Substitution Rule …
01:10
Integrate each of the func…
01:45
Please Solve, thank you!…
The problem is first maker substitution on DH. Then use integration. My parts Teo Why, I'd have been to grow so faint. Signal is into girl from return of pie over to two Frito Pie. The disco fits Q times consign clear the square. The first I can use use of prostitution. But they go to data squad, then the US is the ax too. Two times you stay there. Now this integral is you called too into girl from high over two to pie. The square is facts on the deep has one half the axe and assign Get square is consign Since this integral is factual into peril from pie or two to pine one half times Max um school sign axe. Now this is Carter would have Here is one half times pi work to pie. Sykes, Jax. Now we can use integration. My pass. So the formula is into girl from a to B you be prime the axe. It's the call to you have sleeve from a B minus in general, from a to B your prime housefly axe. Oh, our problem. We can let you is equal to x and they re prom is recalled to assign Max. Then you prom is equal to one. Read it. Sign acts now this into your office. Hans Newtown Suiza, this is X Hammes Sign. Thanks from hi over to two. Minus into your own. Your prime time squeezes. This is Sign Axe from high work. You too. Hi. I think so too. My half first term. This zero minus pi over two and interior ofthe sign Axe is negative. Kasai Axe, This's class Sign Max from high over to too high. This is one half. I'm selective pie. Over two. They assign highs. Makes you want fine power to zero, which is the answer is half half snaked. Your power too minus one.
View More Answers From This Book
Find Another Textbook
03:06
A box contains 5 radio tubes of which 2 are defective.The tubes are tested o…
00:26
Evaluate the following limits. limit x→-1 x^3 + 1x + 1 .A. 3
01:27
Evaluate (using factors) : 301^2 × 300 - 300^3A. 180300
01:02
Find the derivative of 99x at x = 100 .
Find the range of the function f(x) = e^2x + 1 .
05:08
If in the expansion of ( a - 2b )^n , the sum of 5 th and 6 th term is 0 , …
02:34
If it takes 31536000 seconds for Earth to complete one revolution, how many …
01:08
If log 102 = 0.3010 , then log 1050 is
01:24
If n positive integers are taken at random and multiplied together, then the…
If the population of a town decreases 6.25% annually and the present populat…