Question

Formulas of integration and differentiation that used in physics ??
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Answer 1

hey there !

formula's used for integration and differentiation in physics :

A) differention :

1) $\frac{d}{dx} (x^{n} )$ = n$x^{n-1}$

2) $\frac{d}{dx} (cosx)$ = -sinx

3) $\frac{d}{dx} (sinx)$ = cosx

4) $\frac{d}{dx} (1/x)$ = logx

5) d/dx(uv) = Udv/dx + Vdu/dx

6) d/dx (constant) = 0

B) integration :

1) $\int\limits^a_b {x^{n}} \, dx$ = $\frac{x^{n+1}}{n+1}$

2)$\int\limits^a_b {sinx} \, dx$ = -cosx

3)$\int\limits^a_b {cosx} \, dx$ = sinx

4)$\int\limits^a_b {logx} \, dx$ = 1/x

5) $\int\limits^a_b {dx} \,$ = x

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Answer 2

formula's used for integration and differentiation in physics :

A) differention :

1) \frac{d}{dx} (x^{n} )

dx

d

(x

n

) = nx^{n-1}x

n−1

2) \frac{d}{dx} (cosx)

dx

d

(cosx) = -sinx

3) \frac{d}{dx} (sinx)

dx

d

(sinx) = cosx

4) \frac{d}{dx} (1/x)

dx

d

(1/x) = logx

5) d/dx(uv) = Udv/dx + Vdu/dx

6) d/dx (constant) = 0

B) integration :

1) \int\limits^a_b {x^{n}} \, dx

b

∫

a

x

n

dx = \frac{x^{n+1}}{n+1}

n+1

x

n+1

2)\int\limits^a_b {sinx} \, dx

b

∫

a

sinxdx = -cosx

3)\int\limits^a_b {cosx} \, dx

b

∫

a

cosxdx = sinx

4)\int\limits^a_b {logx} \, dx

b

∫

a

logxdx = 1/x

5) \int\limits^a_b {dx} \,

b

∫

a

dx = x

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