can any 1 tell me about solving intregretion and diffrentiation in maths?

Question

pls help ,its lacks me backward in results

Answer 1

If you draw a graph of a function in mathematics and draw a line tangent to any point on that curve ,the slope of that tangent line is known as the derivative. There are methods for calculating derivatives for all different sorts of functions and you should learn and practice those forms. The first derivatives you learn will be of the form d/dx(x^n)=n(x^n-1).
An integral is a way of expressing the area under the curve of a function in a specified interval. To find the integral of a function, you find an expression whose derivative is your initial function. Then you plug in the values of the endpoints of your interval , subtract the lower from the upper ,and you have the value of the integral. This is the starting point of the calculus that Newton derived to make calculations of velocity and acceleration. Remember this for later-- when you draw a graph of position vs. time (plot your position vs. the time you were there), The derivative of that graph is your velocity, and the derivative of that derivative, or second derivative, is your acceleration. The integral of the function you have graphed is the area between the x axis and your curve. That number tells you how far you traveled. I hope that gets you started. The main thing is to learn the forms and practice,practice,practice.

Answer 2

I can't do analysis much justice in the space permitted so I would recommend a few books,
Elementary Calculus by Ramsey (pretty old and hard to find)
Gilbert Strang's Calculus, available free as an ebook on
http://ocw.mit.edu/ans7870/textbooks/Strang/strangtext.htm

A course in Pure Mathematics by GH Hardy

These will lay the proper foundations for a rigorous understanding of calculus.
You have to keep in mind that differentiation deals with the tangents of functions to identify their behaviour and integration is a reverse process, i.e. a sum or measure.

Answer 3

Go throught the general differentiation solutions of trigonometric, inverse trigonometric, hyperbolic, inverse hyperbolic with differrent formulae and rules of differentiation daily by writing it once and start doing any simple probs initially then get into tough ones. Now whatever u do in differentiation do the opposite of it in the sums for integration. Learn differn. and then go for integration

Answer 4

differentiation

use - exponents to avoid quotient rule product rule is easier
use logarithms to simplify complex quotients then differentiate
implicit differentiation is handy skill to have
replace radicals with fractional exponents
DONT SKIP STEPS IN YOUR WORK FOR NOW

integration

look for what is multiplied to dx. is all or part the derivative of something else in integrand ? if so use u substitution

a^2+or-b^2 in the integrand suggests a trig substitution

trig term*polynomial term with exponents small try integration by parts also trig term*trig term where one is derivative of the other suggests int. by parts

sometimes adding and subtracting a term or mult. top and bottom by term can help

learn partial fraction decomposition
DONT SKIP STEPS IN YOUR WORK FOR NOW

a few tips.... good luck

Answer 5

Yes

Answer 6

You need one Year at High School for it!

Answer 7

Do you have any specific examples? Cuz those two topics are too general for an answer on here

Answer 8

see, differentiation & integeration are converse to each other.
the derivative is nothing but slope of tangent to acurve at the point concerned.
the only way to do well is to practice &practise&practise.......

Answer 9

I could tell you all about it, but I have to go to bed now. Goodnight!