Evaluate following. 0ln (1+)excos(1-ex)dx substitution, Mathematics

Assignment Help:

Evaluate following.

0ln (1 + π )  excos(1-ex)dx

Solution

The limits are little unusual in this case, however that will happen sometimes therefore don't get too excited about it.  Following is the substitution.

 u = 1 - ex                du = -ex dx

x =0               ⇒       u = 1 - e0  = 1 -1 = 0

x = ln (1 + π )  ⇒      u = 1 - eln (1+ π= 1 - (1 + π ) = - π

Then the integral is,

0ln (1 + π )  excos(1-ex)dx = ∫0(-∏) cosudu

                                  =-sin u|0(-∏)

                                  =  - sin (-∏)-sin0)=0


Related Discussions:- Evaluate following. 0ln (1+)excos(1-ex)dx substitution

#permutation, #The digits 1,2,3,4and 5 are arranged in random order,to form...

#The digits 1,2,3,4and 5 are arranged in random order,to form a five-digit number. Find the probability that the number is a. an odd number. b.less than 23,000

Draw a common graph y = sin ( x ), Graph y = sin ( x ) Solution : As a...

Graph y = sin ( x ) Solution : As along the first problem in this section there actually isn't a lot to do other than graph it.  Following is the graph. From this grap

Geometry, how do you do rotations

how do you do rotations

Ratio math help, Mr.Tanaka has 56 students in his choir the ratio of boys ...

Mr.Tanaka has 56 students in his choir the ratio of boys to girls is 3:4 how many boys and girls are in his class

Simplifying rational expressions, I need to simple this rational expression...

I need to simple this rational expression, but I can''t figure out how. (x+1)/(x^2-2x-35)+(x^2+x-12)/(x^2-2x-24)(x^2-4x-12)/(x^2+2x-15)

Compute the probability, From past experience a machine is termed to be set...

From past experience a machine is termed to be set up correctly on 90 percent of occasions.  If the machine is set up correctly then 95 percent of good parts are expected however i

Probability, joey asked 30 randomly selected students if they drank milk, j...

joey asked 30 randomly selected students if they drank milk, juice, or bottled water with their lunch. He found that 9 drank milk, 16 drank juice, and 5 drank bottled water. If the

What is the probability in which the marble chosen is blue, A bag holds 3 r...

A bag holds 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability in which the marble chosen is blue? The probability of blue

Write following in terms of simpler logarithms, Write following in terms of...

Write following in terms of simpler logarithms.  (a) log 3 (9 x 4    / √y) Solution log 3 (9 x 4 / √y) =log ­ 3 9x 4 -  log  y (1/2) =log ­ 3 9 + log ­ 3 x 4

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