समाकलन के सूत्र (Integration Formulas) PDF Download
Here Are Some Important Formulas Of Integration. These Formulas Are Very Important For Those Students Who Are Related To Mathematics or physics.So here we provide The PDF File of these very important formulas of Integration .
➢
∫x n ∙dx =
x n + 1
n + 1
+ C
➢
∫e x ∙dx = e x + C
➢
∫e - x ∙dx = - e - x + C
➢
∫
1
x
∙dx = logx+ C
➢
∫Sinx∙dx = - Cosx + C
➢
∫Cosx∙dx = Sinx + C
➢
∫Tanx∙dx = log Secx + C
➢
∫Cotx∙dx = log Sinx + C
➢
∫Secx∙dx = log |Secx + Tanx | + C
➢
∫Cosecx∙dx = log |Cosecx - Cotx | + C
➢
∫
1
√1 - x 2
∙dx = Sin -1x + C
➢
∫
1
1 + x 2
∙dx = Tan -1x + C
➢
∫
1
x√x 2 - 1
∙dx = Sec -1x + C
➢
∫
1
√a 2 - x 2
∙dx = Sin -1(x
a
)
+ C
➢
∫
1
√x 2 - a 2
∙dx = log | x + √x 2 - a 2 | + C
➢
∫
1
√x 2 + a 2
∙dx = log | x + √x 2 + a 2 | + C
➢
∫√ a 2 - x 2
∙dx =
x
2
√ a 2 - x 2 +
a 2
2
Sin -1(x
a
) + C ➢
∫√ a 2 + x 2
∙dx =
x
2
√ a 2 + x 2 +
a 2
2
log | x + √ x 2 + a 2 | + C ➢
∫√ x 2 - a 2
∙dx =
x
2
√ x 2 - a 2 -
a 2
2
log | x + √ x 2 - a 2 | + C ➢
∫
1
a 2 - x 2
∙dx =
1
2a
log |
a + x
a - x
| + C ➢
∫
1
x 2 - a 2
∙dx =
1
2a
log |
x - a
x + a
| + C ➢
∫Sec 2x ∙dx = Tanx + C
➢
∫Cosec 2x ∙dx = - Cotx + C
➢
∫Secx ∙ Tanx ∙dx = Secx + C
➢
∫Cosecx ∙ Cotx ∙dx = - Cosecx + C
➢
∫K ∙dx = Kx + C (जहाँ K = अचर राशि )
➢
∫
1
x 2 + a 2
∙dx =
1
a
Tan-1
x
a
+ C
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