Class XII Sociology Study Reference

অবকলনবিদ্যা

Differentiation of Algebraic Functions

1. [tex]\dfrac{d}{dx}(c) = 0[/tex]

2. [tex]\dfrac{d}{dx}(x) = 1[/tex]

3. [tex]\dfrac{d}{dx}(u) = \dfrac{du}{dx}[/tex]

4. [tex]\dfrac{d}{dx}(cu) = c ~ \dfrac{du}{dx}[/tex]

সমাকলনবিদ্যা

1. [tex]\displaystyle \int du = u + C[/tex]

2. [tex]\displaystyle \int a \, du = a\int du[/tex]

3. [tex]\displaystyle \int (du + dv + ... + dz) = \int du + \int dv + ... + \int dz[/tex]

4. [tex]\displaystyle \int f (x)\,dx = F(x) + C[/tex]

অন্তরকলনবিদ্যা

[tex]\int f (x)\,dx = F(x) + C[/tex]

[tex]\int_a^b f(x) \, dx = F(b) - F(a)[/tex]

[tex]\int_a^b f(x) \, dx = -\int_b^a f(x) \, dx[/tex]

[tex]\int_a^b f(x) \, dx = \int_a^c f(x) \, dx + \int_c^b f(x) \, dx[/tex]

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