maths

19
Feb
Pattern - 27 of Indefinite Integration

⋆ Pattern – 27

If I_n = ∫\tan^n{x}dx, then

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19
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

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19
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

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19
Feb
Pattern - 24 of Indefinite Integration

⋆ Pattern – 24

\int\frac{p\cos{x}+q\sin{x}+r}{a\cos{x}+b\sin{x}+n}\ dx,

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19
Feb
Pattern - 23 of Indefinite Integration

⋆ Pattern – 23

\int\frac{1}{\sin^2{x}\times \cos^2{x}}\ ...
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19
Feb
Pattern - 22 of Indefinite Integration

⋆ Pattern – 22

1)  I=\ \int\frac{1}{\sin^\frac{3}{2}{x}\times \cos^\frac{1}{2}{x}}\ dx

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19
Feb
Pattern - 21 of Indefinite Integration

⋆ Pattern – 21

\int\frac{1}{\left(ax+b\right)^m\ \left(cx+d\right)^n}dx; where, m+n=2

1)  I = 

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18
Feb
Pattern - 19 of Indefinite Integration

⋆ Pattern – 19

I=\ \int\frac{p\left(x\right)}{q\left(x\right)}\ dx_1    where, d ( p ( x ) ) < d (…

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