Mathematical Proofs

Parin Sir > Mathematical Proofs

Feb

Pattern – 11

$\frac{1}{a\cos^2{x}+b\sin^2{x}+c}\ or$ $\ \frac{1}{a\cos^2{... </p> <div class=$

Posted in: Pattern - 11 of Indefinite Integration,

Tags: maths, ganit, pattern, indefinite, proofs, sabiti,

Feb

⋆ Pattern – 10

∫ $\sin^n{x}\times \cos^m{x} dx$

$\rightarrow... </p> <div class=$

Posted in: Pattern - 10 of Indefinite Integration,

Tags: maths, ganit, pattern, indefinite, proofs, sabiti,

Feb

$\frac{1}{a\cos{x+b\sin{x}+c}}\$ $or\ \frac{1}{a\cos{... </p> <div class=$

Posted in: Pattern – 9 - Indefinite Integration,

Tags: math, prin, Parin, kumar, sir, requires, bhai, required, maths, proof, pattern, indefinite, proofs, sabiti, patten,

Feb

⋆ 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 ]

Posted in: Indefinite Integration,

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