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Title: Integration Formulaes
Description: Well...........This PDF File contains .all integration formulaes which can help you to solve any kind of integration problems given in books........
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Basic Integration Formulas
1
...


xn+1
x dx =
+ C, n = −1
n+1

3
...


ex dx = ex + C

5
...


cos x dx = sin x + C

7
...


cot x dx = − ln |csc x| + C

9
...


csc x dx = − ln |csc x + cot x| + C

n

11
...


csc2 x dx = − cot x + C

13
...


csc x cot x dx = − csc x + C

15
...


dx
x
1
+C
= arctan
a2 + x2
a
a

F UNDAMENTAL T HEOREM

OF

C ALCULUS
b

F (x) dx = F(b) − F(a)
a

I NTEGRATION

BY

PARTS
u dv = uv − v du

T RIGONOMETRIC S UBSTITUTION (a > 0)
√
√
• a2 − x2 requires x = a sin θ
...

√
√
• a2 + x2 requires x = a tan θ
...

√
√
• x2 − a2 requires x = a sec θ
...

√
– If x > a, use x2 − a2 = +a tan θ, where 0 θ < π/2
...


A
Gilles Cazelais
...


Title: Integration Formulaes
Description: Well...........This PDF File contains .all integration formulaes which can help you to solve any kind of integration problems given in books........
Buy These NotesPreview