Indefinite Integration

Parin Sir > Mathematical Proofs > Indefinite Integration

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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Feb

Pattern - 23 of Indefinite Integration

⋆ Pattern – 23

$\int\frac{1}{\sin^2{x}\times \cos^2{x}}\ ... </p> <div class=$

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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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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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Feb

Pattern - 20 of Indefinite Integration

⋆ Pattern – 20

Short trick

$\frac{1}{\left(a_1x-b_1\right)\lef... </p> <div class=$

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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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Feb

Pattern - 18 of Indefinite Integration

⋆ Pattern – 18

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

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Feb

Pattern - 17 of Indefinite Integration

I= $\ \int\frac{p\left(x\right)}{q\left(x\right)}\ \ dx , where\ d ( p ( x ) )&spa... </p> <div class=$

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Feb

Pattern - 16 of Indefinite Integration

⋆ Pattern – 16

∫ $e^{ax+b} [ a f(x) + f' (x) ] dx = e^{ax+b} f(x) + c$

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Feb

Pattern - 15 of Indefinite Integration

⋆ Pattern – 15

1) ∫ $e^{ax}$ sin (bx + k) dx

$=\ \frac{e^{ax}}{a^2+b^2}\left[a\sin{\left(bx+k\right)}-b\cos{\l... </p> <div class=$

Posted in: Pattern - 15 of Indefinite Integration,

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