Flashcards
Basic Anti-Derivatives
Cards in this deck (16)
- 1\[ \int k \, \textrm{d}x =\]\[kx +C\]
- 2\[ \int \, \textrm{d}x =\]\[x +C\]
- 3\[ \int 0 \, \textrm{d}x =\]\[C\]
- 4\[ \int k \, f(x) \, \textrm{d} x =\]\[ k \int f(x) \, \textrm{d} x\]
- 5\[ \int \big ( f(x) \pm g(x) \big ) \, \textrm{d} x =\]\[ \int f(x) \, \textrm{d} x \pm \int g(x) \, \textrm{d} x \]
- 6\[ \int x^n \, \textrm{d} x = \]\[ \frac {1}{n+1} \, x^{n+1} + C \]
- 7\[ \int \sin(x) \, \textrm{d}x =\]\[-\cos(x) + C \]
- 8\[ \int \cos(x) \, \textrm{d}x =\]\[\sin(x) + C \]
- 9\[ \int \sec^2(x) \, \textrm{d}x =\]\[\tan(x) + C \]
- 10\[ \int \csc^2(x) \, \textrm{d}x =\]\[-\cot(x) + C \]
- 11\[ \int \sec(x)\tan(x) \, \textrm{d}x =\]\[\sec(x) + C \]
- 12\[ \int \csc(x)\cot(x) \, \textrm{d}x =\]\[-\csc(x) + C \]
- 13\[ \sum_{i=1}^n c = \]\[ n \cdot c \]
- 14\[ \sum_{i=1}^n i = \]\[ \frac{n(n+1)}{2} \]
- 15\[ \sum_{i=1}^n i^2 = \]\[ \frac{n(n+1)(2n+1)}{6} \]
- 16\[\int \frac{1}{1+x^2}\,dx=\tan^{-1}x+C\]\[\tan^{-1}x+C\]