Question

give all integration formulas and differentiation formulas​

Answer 1

Answer:

Hii

Step-by-step explanation:

1. ∫ 1 dx = x + C.
2. ∫ a dx = ax+ C.
3. ∫ xn dx = ((xn+1)/(n+1))+C ; n≠1.
4. ∫ sin x dx = – cos x + C.
5. ∫ cos x dx = sin x + C.
6. ∫ sec2 dx = tan x + C.
7. ∫ csc2 dx = -cot x + C.
8. ∫ sec x (tan x) dx = sec x + C.

Answer 2

The list of integral formulas are

∫ 1 dx = x + C

∫ a dx = ax+ C

∫ xn dx = ((xn+1)/(n+1))+C ; n≠1

∫ sin x dx = – cos x + C

∫ cos x dx = sin x + C

∫ sec2 dx = tan x + C

∫ csc2 dx = -cot x + C

∫ sec x (tan x) dx = sec x + C

∫ csc x ( cot x) dx = – csc x + C

∫ (1/x) dx = ln |x| + C

∫ ex dx = ex+ C

∫ ax dx = (ax/ln a) + C ; a>0, a≠1

These integral formulas are equally important as differentiation formulas. Some other important integration formulas are: (pic is attached)

Differentiation Formulas List

In all the formulas below, f’ means d(f(x))dx=f′(x) and g’ means d(g(x))dx = g′(x) . Both f and g are the functions of x and differentiated with respect to x. We can also represent dy/dx = Dx y. Some of the general differentiation formulas are;

1 Power Rule: (d/dx) (xn ) = nxn-1

2 Derivative of a constant, a: (d/dx) (a) = 0

3 Derivative of a constant multiplied with function f: (d/dx) (a. f) = af’

4 Sum Rule: (d/dx) (f ± g) = f’ ± g’

5 Product Rule: (d/dx) (fg)= fg’ + gf’

6 Quotient Rule:ddx(fg) = gf′–fg′g2

hope this may help you