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

Calculate the ratio of the areas of three sectors, A circular disc of 6 cm ...

A circular disc of 6 cm radius is divided into three sectors with central angles 1200, 1500,900. What part of the circle is the sector with central angles 1200. Also give the ratio

Evaluate distance traveled by train, Evaluate distance traveled by train: ...

Evaluate distance traveled by train: A plane flying at 525 miles per hour completes a trip in 2 hours less than another plane flying at 350 miles per hour.  What is the distan

Solve 4 cos(t )= 3 on[-8, Solve 4 cos(t )= 3 on[-8,10]. Solution : Here...

Solve 4 cos(t )= 3 on[-8,10]. Solution : Here the first step is identical to the problems in the previous section. First we need to isolate the cosine on one side by itself & t

What is number systems, NUMBER SYSTEMS: Numbers  are intellectual  witne...

NUMBER SYSTEMS: Numbers  are intellectual  witnesses  that belong  only  to  mankind. Example: If the H C F of 657 and 963 is expressible in the form of 657x + 963 x -

Polar coordinates - parametric equations & polar coordinates, Polar Coordin...

Polar Coordinates Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system.  Though, as we will see, this is not all time the easie

Estimate the temperature, The temperature at midnight was 4°F. Through 2 A....

The temperature at midnight was 4°F. Through 2 A.M. it had dropped 9°F. What was the temperature at 2 A.M.? If the temperature is only 4° and drops 9°, it goes below zero. It d

Matrix inverse, Here we need to see the inverse of a matrix. Provided a squ...

Here we need to see the inverse of a matrix. Provided a square matrix, A, of size n x n if we can get the other matrix of similar size, B that, AB = BA = I n after that we call

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