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\(F'\left( x \right) = f''\left( x \right)\)

\(F'\left( x \right) = f'\left( x \right)\)             

\(F'\left( x \right) = f\left( x \right)\)

\(f'\left( x \right) = F\left( x \right)\)

\(f'\left( x \right) = F\left( x \right)\)

\(\int {f\left( x \right)dx}  = F\left( x \right)+C\)

\(\int {F\left( x \right)dx}  = f\left( x \right) + C\)

\(f'\left( x \right) = F'\left( x \right)\)

\(\int {f'\left( x \right)dx}  = f\left( x \right) + C\)    

\(\int {f\left( x \right)dx}  = f'\left( x \right) + C\)

\(\int {f'\left( x \right)dx}  = f''\left( x \right) + C\)

\(\int {f\left( x \right)dx}  = f''\left( x \right) + C\)

\(y = 12{x^3}\)

\(y = \dfrac{{3{x^5}}}{5} - 1\)

\(y = \dfrac{{3{x^5} + 1}}{5}\)

\(y = \dfrac{3}{5}{x^5} - \dfrac{3}{5}\)

$y = \sin x + 1$         

\(y = \cos x\)   

\(y = \cot x\)

\(y =  - \cos x\)

$\int {\sin xdx}  = \cos x + C$            

\(\int {dx}  = x + C\)

$\int {{e^x}dx}  = {e^x} + C$

\(\int {\dfrac{1}{x}dx}  = \ln \left| x \right| + C\)