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

Equivelent ratios, if 2 ballons cost 12 coins,use equivelent ratios to see ...

if 2 ballons cost 12 coins,use equivelent ratios to see how many coins 8 ballons would cost

Math help, I need help with direct variation between x and y

I need help with direct variation between x and y

Domain of a vector function - three dimensional space, Domain of a Vector F...

Domain of a Vector Function There is a Vector function of a single variable in R 2 and R 3 have the form, r → (t) = {f (t), g(t)} r → (t) = {f (t) , g(t), h(t)} co

Math, 3 9/10 into decimal

3 9/10 into decimal

Canada australia eire spain, Before independence, Bangladesh was called Cey...

Before independence, Bangladesh was called Ceylon East Pakistan Bhutan Bangalore Which of the following countries does not have a monarch as head of state? Canada Australia Eire

Sketch the graph of the derivative of this function f '( x), Below is the s...

Below is the sketch of a function f ( x ) . Sketch the graph of the derivative of this function f ′ ( x ) . Solution : At first glance it seems to an all however impossib

We know this equation a°=1.prove this?, we know that    A^m/A^m=1         ...

we know that    A^m/A^m=1                    so A^(m-m)=1                    so A^0=1.....

Evaluate the measure of the larger angle, Two angles are complementary. The...

Two angles are complementary. The calculate of one angle is four times the measure of the other. Evaluate the measure of the larger angle. a. 36° b. 72° c. 144° d. 18°

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