∫

Indefinite Integral

★★★☆☆High School

📖Definition

The reverse of differentiation, finding the original function from its derivative.

∈t f(x) dx = F(x) + C

Definition (C is constant of integration)

∈t xⁿ dx = \fracx^n+1n+1 + C (n ≠ -1)

Power rule for integration

∈t e^x dx = e^x + C

Exponential integral

∈t (1)/(x) dx = ln|x| + C

Integral of reciprocal

예제 1★★☆☆☆

Find ∫ 3x² dx.

예제 2★★☆☆☆

Find ∫ (2x + cos x) dx.

#analysis#calculus#integration#fundamental