Flashcards
Calculus 2H - Indefinite integrals
Cards in this deck (13)
- 1\[\int{\frac{dx}{x^2+a^2}}\]\[\frac{1}{a}\arctan{\frac{x}{a}} + C\]
- 2\[\int{\frac{dx}{x^2-a^2}}\]\[\frac{1}{2a}\ln{|\frac{x-a}{x+a}|} + C\]
- 3\[\int{\frac{dx}{a^2-x^2}}\]\[\frac{1}{2a}\ln{|\frac{a+x}{a-x}|} + C\]
- 4\[\int{\frac{dx}{\sqrt{x^2 \pm a^2}}}\]\[\ln{|x+\sqrt{x^2 \pm a^2}|} + C\]
- 5\[\int{\frac{dx}{\sqrt{a^2 - x^2}}}\]\[\arcsin{\frac{x}{a}}+C\]
- 6\[\int{a^x dx}\]\[\frac{a^x}{\ln{a}} + C\]
- 7\[\int{\frac{dx}{\cos^2{x}}}\]\[\tan{x} + C\]
- 8\[\int{\frac{dx}{\sin^2{x}}}\]\[-\cot{x} + C\]
- 9\[\int{\frac{dx}{\sin{x}}}\]\[\ln{|\tan{\frac{x}{2}}|} + C\]
- 10\[\int{\frac{dx}{\cos{x}}}\]\[\ln{|\tan{(\frac{x}{2} + \frac{\pi}{4})}|} + C\]
- 11\[\int{\ln{x} dx}\]\[x\ln{x} - x + C\]
- 12\[\sin^2{\frac{x}{2}}\]\[\frac{1-\cos(x)}{2}\]
- 13\[\cos^2{\frac{x}{2}}\]\[\frac{1+\sin(x)}{2}\]
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- Description
- Flashcards on Calculus 2H - Indefinite integrals, created by Adam Antoshin on 29/06/2021.
- Created by
- Adam Antoshin · Jun 2021
- Updated
- Jun 29, 2021
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