Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Example of Integration by Parts - Integration techniques
Illustration1: Evaluate the following integral.
∫ xe6x dx
Solution :
Thus, on some level, the difficulty here is the x that is in front of the exponential. If that was not there we could do the integral. Notice also, that in doing integration by parts anything that we wish for u will be differentiated. Thus, it seems that choosing u = x will be a good choice as upon differentiating the x will drop out.
Here that we've selected u we know that dv will be everything else which remains. Thus, here are the choices for u and dv also du and v.
u = x dv = e6x dx
du = dx v = e6x dx = 1/6e6x
Then the integral is as follow:
∫ xe6x dx = x/6 e6x - ∫ 1/6 e6x dx
= x/6 e6x - 1/36 e6x + c
Just once we have completed the last integral in the problem we will add in the constant of integration to obtain our final answer.
Assume that Y 1 (t) and Y 2 (t) are two solutions to (1) and y 1 (t) and y 2 (t) are a fundamental set of solutions to the associated homogeneous differential equation (2) so, Y
The figure provided below shows a hexagonal-shaped nut. What is the measure of ∠ABC? a. 120° b. 135° c. 108° d. 144° a. The measure of an angle of a regula
What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems
Fermat's Theorem If f(x) has a relative extrema at x = c and f′(c) exists then x = c is a critical point of f(x). Actually, this will be a critical point that f′(c) =0.
Three shirts and five ties cost $23. Five shirts and one tie cost $20. What is the price of one shirt? Let x = the cost of one shirt. Let y = the cost of one tie. The ?rst part
what is 8e^3x + 4 = 15
#question.prove that the diagonals of a trapezium divide each other proportionally .
One coin is tossed thrice. what will be the probability of getting neither 3 heads nor 3 tails
Verify Liouville''''s formula for y "-y" - y'''' + y = 0 in (0, 1)
Marci filled her car's gas tank on Monday, and the odometer read 32,461.3 miles. On Friday while the car's odometer read 32,659.7 miles and she filled the car's tank again. It will
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd