proof

Parin Sir > proof

Feb

Pattern – 5 : Indefinite Integration

⋆ Pattern – 5

$\int\frac{f\prime\left(x\right)}{f\left(x\right)}\ dx=\log{\left|f\left(x\right)... </p> <div class=$

Posted in: Pattern – 5 : Indefinite Integration,

Tags: formula, any, Definite, integration, math, pattern, of, sabiti, maths, mathematics, ganit, proof, definition,

Feb

Pattern – 4 : Indefinite Integration

⋆ Pattern : 4

∫ $\left[f\left(x\right)\r... </p> <div class=$

Posted in: Pattern – 4 : Indefinite Integration,

Tags: math, pattern, of, sabiti, maths, mathematics, ganit, proof, definition, formula, any, Definite, integration,

Feb

Pattern – 3 : Indefinite Integration

⋆ Pattern – 3 : – Adjustment

1) $\int\frac{2x^3+18x-1}{x^2+9}\ dx$

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

Posted in: Pattern – 3 : Indefinite Integration,

Tags: proof, definition, formula, any, Definite, integration, pattern, of, dx, maths, sabiti, mathematics, ganit, math maths,

Feb

Pattern – 2 : Indefinite Integration

⋆ Pattern – 2 :

If ∫f(x) dx = F(x) +c, then

∫ f (a + b) dx = $\frac{1}{a}$ F ( ax + b )dx + c : a ≠ 0

$\int\fr... </p> <div class=$

Posted in: Pattern – 2 : Indefinite Integration,

Tags: of, dx, maths, 1/a, mathematics, sabiti, ganit, proof, f(ax+b), definition, math maths, formula, any, Definite, integration, math, pattern,

Feb

Pattern - 30 of Indefinite Integration

⋆ Pattern – 30

$I_n=\ \int{\rm cosec}^n\ x\ dx, then$

Posted in: Pattern - 30 of Indefinite Integration,

Tags: maths, proof, pattern, sabiti,

Feb

Pattern - 29 of Indefinite Integration

⋆ Pattern – 29

= ∫ $\sec^n{x} dx$ , then

$I_n=\ \frac{\tan{x\times \sec^{n-2}{x}}}{n... </p> <div class=$

Posted in: Pattern - 29 of Indefinite Integration,

Tags: maths, proof, pattern, sabiti,

Feb

Pattern - 28 of Indefinite Integration

⋆ Pattern – 28

= ∫ $\cot^n{x} dx$ , then

$I_n=\ \frac{-\cot^{n-1\ }{x}}{x-1}-I_{n-2}\... </p> <div class=$

Posted in: Pattern - 28 of Indefinite Integration,

Tags: maths, proof, pattern, sabiti,

Feb

Pattern - 27 of Indefinite Integration

⋆ Pattern – 27

If I_n = ∫ $\tan^n{x}$ dx, then

$I_n=\ \frac{\tan^{n-1\ }{x}}{n-1}-I_n-2\ ... </p> <div class=$

Posted in: Pattern - 27 of Indefinite Integration,

Tags: maths, proof, pattern, sabiti,

Feb

Pattern - 26 of Indefinite Integration

⋆ Pattern – 26

$\int\frac{x^2+a}{x^4+bx^2+c\ }\ dx$

then divide numerator & denominator by & assume

Posted in: Pattern - 26 of Indefinite Integration,

Tags: maths, proof, pattern, sabiti,

Feb

Pattern - 25 of Indefinite Integration

⋆ Pattern – 25

$\int\frac{ae^x+be^{-x}+n}{pe^x+qe^{-x}+r}\ dx$

where, a, b , n, p, q, r ∈ R then use

Posted in: Pattern - 25 of Indefinite Integration,

Tags: maths, proof, pattern, sabiti,