Calculus integration problems

Integration calculus is the definition, properties, and applications of two related concepts, definite integral and indefinite integral. Finding the value of an integral process is called integration. Integral calculus is two related linear operators.Indefinite integral is antiderivative, the inverse operation to the derivative.Definite integral inputs a function and outputs a number, gives the area between graph of input and x-axis. Limit of a sum of areas of rectangles is known as Riemann sum.



Calculus Integration Problems - Importance
Ancient period introduced ideas of integral calculus, have developed these ideas in a rigorous or systematic way. Manipulating very small quantities are usually developed Calculus.Infinitesimals are the first method of the calculus. dx is infinitesimal number could be greater than 0, but less than in the sequence 1, 1/2, 1/3, .... Infinitely small with the Integer multiple of an infinitesimal.  

Provided solid foundations for the manipulation of infinitesimals is introduce of non-standard analysis and smooth infinitesimal analysis.

Objective of integration calculus problems is settle on rate of change.

Main wing of integration calculus problems is

 Integral calculus.
 Integration calculus problems is decide function of  the rate of change.
Calculus Integration Problems - Sample Problems

Problem 1:
Find the integral of the given equation

2x + exdx

Solution:

∫2x + ex dx=∫2x dx + ∫ex dx

Integrating the above equation.

We get

2x2 / 2 + eX

x^2 + ex

Problem 2:

Find the integral of the given equation

x2+2x+3 dx

Solution:

∫x2+2x+3 dx  = ∫x2 dx + ∫2x dx +∫3 dx

Integrating the above equation

We get

= x3/3 + 2x2/2 + 3x

= x3/3 + x2 + 3x

Problem 3:

Find the integral of the given equation

X4+2x2+3x dx

Solution:

∫x4+2x2+3x dx  = ∫x4 dx + ∫2x2 dx +∫3x dx

Integrating the above equation

We get

= x5/5+ 2x3/3 + 3x2/2

= x5/5 + 2x3/3+ 3x2/2