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!
Reduction formulae
Script for Introduction:
First let us know what is meant by reduction formula.
In simple words,
A formula which expressess(or reduces) the integral of the nth indexed function in terms of that of n-1th indexed function is called a Reduction formula.
Let us see how reduction formula helps us in solving the problems in different cases:
Problem 1:
Solve Integration of
sin4x dx
Script for this problem:
This problem can be solved by reduction formula for sine which states that,
// print line 1
Here we have n=4.
Therefore substituting the value of n=4 in the given problem,we have,
//print line 2
Which is equal to,
//print line 3
On expanding I2 in a similar manner, we can write I4 as,
//print line 4
Now, we know that,
//print line5
//print line 6
Here substituting the value of I0 in the equation of I4 ,we have
//print line 7
Thus, by reduction formula the given problem is solved.
1. The polynomial G(x) = -0.006x4 + 0.140x3 - 0.53x2 + 1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase
Rental car agency has 50 cars. Rental rate in winter is 60%. What is probability that in give winter month the rental rate is fewer than 35 cars rented? Use normal distribution to
A man invests rs.10400 in 6%shares at rs.104 and rs.11440 in 10.4% shares at rs.143.How much income would he get in all?
A school principal is looking at the combinations of subjects students are studying. He learns that the probability that a student is studying Chemistry is 0.5 and that the prob
Inverse Sine : Let's begin with inverse sine. Following is the definition of the inverse sine. y = sin -1 x ⇔ sin y = x for - ?/2 ≤ y ≤ ?/2 Hen
what is (x-y)(x+y)
A passenger jet took 3 hours to fly 1800 km in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the
Continuous Uniform Distribution Consider the interest earned on a bank deposit. Let X equal the value after the decimal point. (Assume no rounding off to the nearest paise.) Fo
Center of Mass - Applications of integrals In this part we are going to find out the center of mass or centroid of a thin plate along with uniform density ρ. The center of mass
I don''t get it .... Help
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: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd