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!
Properties of the Indefinite Integral
1. ∫ k f ( x ) dx = k ∫ f ( x ) dx where k refer for any number. Thus, we can factor multiplicative constants out of indefinite integrals.
2. ∫ - f ( x ) dx = -∫ f ( x ) dx . It is really the first property with k = -1 and therefore no proof of this property will be given.
3. ∫ f (x) ± g (x) dx = ∫ f (x) dx ± ∫ g (x) dx . In other terms, the integral of a sum or difference of any functions is the sum or difference of the individual integrals. This rule can be extended to as several functions as we required.
There is one last topic to be discussed in this section. On instance we will be given f ′ ( x ) and will ask f ( x ) was. Now we can answer this question simply with an indefinite integral
f ( x ) = ∫ f ′ ( x ) dx
Example If f ′ ( x ) = x4 + 3x - 9 what was f ( x ) ?
Solution: By this point it is a simple question to answer.
f ( x ) = ∫f ′ ( x ) dx = x4 + 3x - 9 dx = 1/5 x5 + 3/2 x2 - 9x + c
Explain with the help of number line (-6)+(+5)
The larger of two supplementary angles exceeds the smaller by 180, find them. (Ans:990,810) Ans: x + y = 180 0 x - y = 18 0 -----------------
Data entry is performed in 2-person teams. Each 2-person team can enter 520 surveys per day. A selection of 7540 surveys must be entered by day''s end. How many total employees, wo
The amount of particulate matter left in solution during a filtering process is given by the equation p(n) = 500(2) -0.8n , where n is the number of filtering steps. Find the amoun
Find an integrating factor for the linear differential equation and hence Önd its general solution: SOLVE T^ 2 DY DX+T2
find a common tangent to two circles
Fourier series - Partial Differential Equations One more application of series arises in the study of Partial Differential Equations. One of the more generally employed method
How do you multiply frations?
A painter leans a 10-foot ladder against the house she is to paint. The foot of the ladder is 3 feet from the house. How far above the ground does the ladder touch the house? Appro
a can of soup is shaped like wich solid
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