What's the difference between definite integration and indefinite integration
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What's the difference between definite integration and indefinite integration

[From: ] [author: ] [Date: 11-10-17] [Hit: ]
Im not sure if i understand it.well, if they give you the lower and upper limit, then yes.thus,0-Definite,......
What's the difference between definite integration and indefinite integration?
I know indefinite integration involves u-substitution, but can someone expand on these definitions? Thanks!

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how about i give you some examples?

∫x dx = (1/2)x^2 + C is an indefinite integral

1
∫ x dx = (1/2)x^2 is a definite integral
0

the key is the lower and upper limit. If they are there, it's definite integral. If they're not there, it's indefinite integral

there are some exceptions


∫1/x^2 dx is called improper integral
0

Edit:
please clarify your question. I'm not sure if i understand it.

Edit:
well, if they give you the lower and upper limit, then yes.

1
∫x dx = (1/2)x²
0

use the Fundamental theorem of calculus

b
∫f(x) dx = F(b) - F(a)
a

F is the integral of f

we just found F = (1/2)x²

(1/2)(1)² - (1/2)(0)²
(1/2) - 0
(1/2)

thus,
1
∫x dx = 1/2
0

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Definite, you don't have to include the constant term

Indefinite, you have to include the constant term

That will be enough for you to pass grade 12 calc class.

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indefinite integration there is one constant if more then one then we put one constant.

Definitie integration there is a upper and lower limits so there no constant require.
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