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.
A bank pays on its savings an interest rate of 6% per year but compounds interest monthly (i.e., estimates the interest each month and adds it to the balance). You plan to deposit
Consider the trigonometric function f(t) = -3 + 4 cos(Π/ 3 (t - 3/2 )). (a) What is the amplitude of f (t)? (b) What is the period of f(t)? (c) What are the maximum and mi
The population of Hamden was 350,000 in 1990. By 2000, the population had decreased to 329,000. What percent of decrease is this? First, ?nd out the number of residents who lef
The Ravens played 25 home games this year. They had 9 losses and 2 ties. How many games did they win? Eleven games are accounted for along with the losses and ties (9 + 2 = 11)
The sum of two consecutive even integers is the number 126. What are the integers? Two consecutive even integers are numbers in sequence, such as 4 and 6 or -30 and -32, that a
One of two complementary angles is 80& of the other. What is the degree measure of the smaller angle?
The 5% sales tax on a basket was $0.70. What was the price of the basket? Use a proportion to solve the problem; part/whole = %/100. The whole is the price of the basket (wh
In a certain class, one half of the male students and two thirds of the female students speak French. If there are three fourths as many girls as boys in the class. What fraction o
Now we have to look at rational expressions. A rational expression is a fraction wherein the numerator and/or the denominator are polynomials. Here are some examples of rational e
2/4 + 3/4 =
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