Evaluate integrals, Mathematics

Assignment Help:

Evaluate following integrals.

 (a) ∫ 3ex + 5 cos x -10 sec2  x dx

 (b) ( 23/ (y 2 + 1) + 6 csc y cot y + 9/ y dy

Solution

(a)    ∫ 3ex + 5 cos x -10 sec2 x dx

∫ 3ex + 5 cos x -10 sec2 x dx = 3ex + 5 sin x -10 tan x + c

 (b) (( 23/ (y 2 + 1) + 6 csc y cot y + 9/ y dy

In this one we'll just utilizes the formulas from above. There are just multiplicative constants and thus can be avoid while we integrate each of the  term and then once we're done integrating a given term simply we put the coefficients back in.

∫ 23/(y2+1) + 6 csc y cot y +(9/y) dy = 23 tan -1 y - 6 csc y + 9 ln |y| + c

In the next problem we will take a look at a product & this time we're not going to be capable to just multiply the product out.  Though, if we recall the comment regarding simplifying a little this problem becomes simple.


Related Discussions:- Evaluate integrals

Class 10, The value of K for (k+1)x^2-2(k-1)x+1 = 0 has real and equal root...

The value of K for (k+1)x^2-2(k-1)x+1 = 0 has real and equal roots.

Difference between probability and statistics, Q. Difference between Probab...

Q. Difference between Probability and statistics? Ans. Probability and statistics are used in many different aspects of life. What are they and why are they so popular?

Compute the total and annual return on the investment, 1. Calculate the ann...

1. Calculate the annual interest that you will receive on the described bond-A $500 Treasury bond with a current yield of 4 .2% that is quoted at 106 points? 2. Compute the tota

Discrete math, ) Show that the following argument is valid: (~p ? q) =>...

) Show that the following argument is valid: (~p ? q) => r s ? ~q ~t p => t (~p ? r) => ~s ------------------------ ? ~q 2) Show that the following argum

Geometry, if two circles O and O''intersect in two points, A and B, the the...

if two circles O and O''intersect in two points, A and B, the the line segment OO is what?

How many people are usual to vote for mr salva on survey, The Daily News re...

The Daily News reported that 54% of people surveyed said in which they would vote for Larry Salva for mayor. Based on the survey results, if 23,500 people vote in the election, how

Multiplication of two like terms with same signs, Case 1: Suppose we...

Case 1: Suppose we have two terms 7ab and 3ab. When we multiply these two terms, we get 7ab x 3ab = (7 x 3) a 1 + 1 . b 1 + 1  ( Therefore, x m . x n = x m +

Estimate the grade resistance, The grade resistance is F=W sin θ, where θ i...

The grade resistance is F=W sin θ, where θ is the grade and W is the weight of the automobile.  What is the grade resistance of a 2500 pound car traveling on a 2.6 degree uphill gr

What is the probability of getting a royal flush, Q. What is the probabilit...

Q. What is the probability of getting a Royal Flush? Ans. Five cards are picked from a standard deck of 52 cards. How many different hands of five cards are possible? What

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd