maths

18
Feb
Pattern - 13 of Indefinite Integration

⋆ Pattern – 13

Integration by parts ∫ uv dx = u ∫ vdx – ∫\left(\frac{du}{dx}\ \int v\ dx\right) dx

wh…

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18
Feb
Pattern - 10 of Indefinite Integration

⋆ Pattern – 10

\sin^n{x}\times \cos^m{x} dx

\rightarrow...
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Tags: maths, ganit, pattern, indefinite, proofs, sabiti,
17
Feb
Pattern – 9 – Indefinite Integration

\frac{1}{a\cos{x+b\sin{x}+c}}\ or\ \frac{1}{a\cos{...
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Tags: math, prin, Parin, kumar, sir, requires, bhai, required, maths, proof, pattern, indefinite, proofs, sabiti, patten,
16
Feb
Indefinite Integration

⋆ Pattern – 1

Definite integration never contains any arbitrary constant.

i.e.   If   = F(x) + c, then

=  F(b) – F(a)

Proof :

Now,  dx = F(b) – F(a)

= [ F(b) + c ] – [ F(a) + c ]

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Posted in: Indefinite Integration,
Tags: never, maths, contains, mathematics, arbitrary, proof, constant, definition, pattern, formula, defination, 1, statement, any, indefinite, proofs, Definite, mathematical, integration,