Evaluate indefinite integrals, Mathematics

Assignment Help:

Evaluate following indefinite integrals.

 (a) ∫ 5t 3 -10t -6 + 4 dt

 (b) ∫ dy

Solution

 (a) ∫ 5t 3 -10t -6 + 4 dt

There's not whole lot to do here other than use the two formulas.  Remember that while integrating powers (which aren't -1 of course) we just add one onto the exponent & then divide through the new exponent.

∫ 5t 3 -10t -6 + 4 dt = 5 ( ¼)  t 4  -10 ( 1/-5) t -5 + 4t + c

= 5/4 t 4 + 2t -5 + 4t + c

Be careful while integrating negative exponents.  Always remember to add one onto the exponent. 

(b) ∫ dy

∫ dy = ∫1dy = y + c

In this case we are actually just integrating a one!


Related Discussions:- Evaluate indefinite integrals

Partial derivatives - set theory, Partial Derivatives Partial derivati...

Partial Derivatives Partial derivatives are used while we want to investigate the effect of one independent variable on dependent variable. For illustration, the revenues of a

Characteristics of exponential smoothing, Characteristics of Exponential Sm...

Characteristics of Exponential Smoothing 1. More weight is described to the most recent data. 2. All past data are incorporated not like in moving averages. 3. Les

Absolute value of a number, At times we consider only the magnitude o...

At times we consider only the magnitude of the number without attaching much importance to its direction. Under these circumstances the sign attached with the num

Math Help, 1. Which of the following is greater than 4.3 x 10^9 a. 2.1 x ...

1. Which of the following is greater than 4.3 x 10^9 a. 2.1 x 10^9 b. 3.2 x 10^9 c. 5.3 x 10^9 d. 7.4 x 10^8 2. Which of the following is less than 6.5 x 10^-5 a. 1.4 x 10

Index numbers, advantages and disadvantages of index numbers

advantages and disadvantages of index numbers

DIFFERENTIAL EQUATIONS, WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLED...

WHICH LIFE PROBLEMS CAN BE SOLVED USING THE KNOWLEDGE OF DIFFERNTIAL EQUATIONS?

Help with word problem, You would like to have $4000 in four years for a sp...

You would like to have $4000 in four years for a special vacation following graduation by making deposits at the end of every 6 months in an annuity that pays 7% compounded semiann

Commercial arithmetic, if oranges are bought at the rate of 11 for rupees ...

if oranges are bought at the rate of 11 for rupees 10 and are sold at the rate of 10 for rupees 11, find the profit percent

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