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

Tchebyshev distance, Tchebyshev Distance (Maximum Travel Distance per Trip ...

Tchebyshev Distance (Maximum Travel Distance per Trip Using Rectilinear Distance): It can be calculated by using following formula: d(X, Pi) = max{|x - ai|, |y - bi|} (Source

Determine the line parallel or perpendicular, Determine if the line that pa...

Determine if the line that passes through the points ( -2, -10) and (6, -1) is parallel, perpendicular or neither to the line specified  by 7 y - 9 x = 15 . Solution Togive

System of first order equations, Consider the Van der Pol oscillator x′′...

Consider the Van der Pol oscillator x′′- µ(1 - x 2 )x′ + x = 0 (a) Write this equation as a system of first order equations (b) Taking µ = 2, use MatLab's routine ode45 to

Gauss-siedel or newton-rapson method, A one-line diagram of a simple three-...

A one-line diagram of a simple three-bus power system is shown in Figure 1 with generation at bus 1. The magnitude of voltage at bus 1 is adjusted to 1.05 per unit. The scheduled l

How do children learn maths?, HOW DO CHILDREN LEARN? : Have you ever tried...

HOW DO CHILDREN LEARN? : Have you ever tried teaching a young child what "ball" means? Did you do it by a lot of verbal description" Or did you let the child actually handle a b

How much more does she required to sell to meet her goal, Hanna's sales tar...

Hanna's sales target for the week is $5,000. So far she has sold $3,574.38 worth of merchandise. How much more does she required to sell to meet her goal? You must ?nd out the

The sum of their ages is 104 how old is shari, Sam's age is 1 less than dou...

Sam's age is 1 less than double Shari's age. The sum of their ages is 104. How old is Shari? Let x = Shari's age and let y = Sam's age. Because Sam's age is 1 less than twice S

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