Odpowiedź:
g ) ∫ ( [tex]e^x + x^{2}) dx = e^x + \frac{1}{3} x^3 + C[/tex]
h ) ∫ [tex]\frac{x^2 + 2}{x^{2} + 1} dx =[/tex]∫ [tex]\frac{x^2 + 1 + 1}{x^{2} +1} d x =[/tex] ∫ 1 dx + ∫ [tex]\frac{d x}{x^{2} +1 } = x + arctg x + C[/tex]
Szczegółowe wyjaśnienie:
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Odpowiedź:
g ) ∫ ( [tex]e^x + x^{2}) dx = e^x + \frac{1}{3} x^3 + C[/tex]
h ) ∫ [tex]\frac{x^2 + 2}{x^{2} + 1} dx =[/tex]∫ [tex]\frac{x^2 + 1 + 1}{x^{2} +1} d x =[/tex] ∫ 1 dx + ∫ [tex]\frac{d x}{x^{2} +1 } = x + arctg x + C[/tex]
Szczegółowe wyjaśnienie: