answer the problem of integration pls
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Héy mate , your question is incomplete , plz attached the pic or write the full question plzzzz!
somesh22:
okkl
Hmmm , no problem , sometime it also happened with me
and i have posted the whole question pic pls answer it
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hi friend!!!!
Meaning of Integration
In a broad sense, in calculus, the idea of limit is used where algebra and geometry is implemented. Limits helps us study the result of points on a graph get closer to each other until their distance is almost zero. We know that there are two major types of calculus –
Differential Calculus
Integral Calculus
We are talking about Integral Calculus here. According to Mathematician Bernhard Riemann,
“Integral is based on a limiting procedure which approximates the area of a curvilinear region by breaking the region into thin vertical slabs.”
Let us now try to understand what does that mean:
Take an example of a slope of line in a graph to see what differential calculus is:
In a slope of a line, we can find the slope by using the slope formula. But what if we are given to find a area of a curve? In a curve the slope of the points varies and it is then we need differential calculus to find the slope of a curve.
You must be familiar with finding out the derivative of a function using the rules of derivative. Wasn’t it interesting? Now we are going the other way round to find the original function using the rules in Integration. We are going to use the same rule backwards to find out the original function. In other words, Integration is the opposite ofDifferentiation.
There are mainly two types of Integrals:
Definite Integral
Indefinite Integral
Definite Integral:
An integral that contains the upper and lower limits then it is a definite integral. On a real line, x is restricted to lie. Riemann Integral is the other name of the Definite Integral.
A definite Integral is represented as:
Indefinite Integral:
This is how we use Indefinite Integrals:
Where C is any constant. The function f(x) is called the integrand.
Example- Find the integral of the function:
Solution- Given
=
Example- Find the integral of the function:
Solution- Given
=
Integration has many uses in math and in real life as well.
hope my answer helps you
keep smiling
Meaning of Integration
In a broad sense, in calculus, the idea of limit is used where algebra and geometry is implemented. Limits helps us study the result of points on a graph get closer to each other until their distance is almost zero. We know that there are two major types of calculus –
Differential Calculus
Integral Calculus
We are talking about Integral Calculus here. According to Mathematician Bernhard Riemann,
“Integral is based on a limiting procedure which approximates the area of a curvilinear region by breaking the region into thin vertical slabs.”
Let us now try to understand what does that mean:
Take an example of a slope of line in a graph to see what differential calculus is:
In a slope of a line, we can find the slope by using the slope formula. But what if we are given to find a area of a curve? In a curve the slope of the points varies and it is then we need differential calculus to find the slope of a curve.
You must be familiar with finding out the derivative of a function using the rules of derivative. Wasn’t it interesting? Now we are going the other way round to find the original function using the rules in Integration. We are going to use the same rule backwards to find out the original function. In other words, Integration is the opposite ofDifferentiation.
There are mainly two types of Integrals:
Definite Integral
Indefinite Integral
Definite Integral:
An integral that contains the upper and lower limits then it is a definite integral. On a real line, x is restricted to lie. Riemann Integral is the other name of the Definite Integral.
A definite Integral is represented as:
Indefinite Integral:
This is how we use Indefinite Integrals:
Where C is any constant. The function f(x) is called the integrand.
Example- Find the integral of the function:
Solution- Given
=
Example- Find the integral of the function:
Solution- Given
=
Integration has many uses in math and in real life as well.
hope my answer helps you
keep smiling
tq
please make my answer as brainlist answer
okk and do u have fb
we can share our study materials there
okk
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