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Calculus 2 study flash cards
Question | Answer |
---|---|
∫cos(x)dx | sin(x)+c |
∫sin(x)dx | -cos(x)+c |
∫sec^2(x)dx | tan(x)+c |
∫csc^2(x)dx | -cot(x)+c |
∫sec(x)tan(x)dx | sec(x)+c |
∫csc(x)cot(x)dx | -csc(x)+c |
∫dx/√a^2 - x^2 | sin inverse of u/a + c |
∫dx/a^2 + x^2 | 1/a tan inverse of u/a + c |
∫dx/x√x^2 - a^2 | 1/a sec inverse of u/a + c |
∫tan(x)dx | ln|secx|+c |
∫cot(x)dx | ln|sinx|+c |
∫sec(x)dx | ln|secx+tanx|+c |
∫csc(x)dx | ln|cscx-cotx|+c |
alternate sec^2(x) | tan^2(x) + 1 |
alternate tan^2(x) | sec^2(x) - 1 |
relevant identity of sin^2(x) | 1/2(1-cos(2x)) |
relevant identity of cos^2(x) | 1/2(1+cos(2x)) |
Integration by parts formula? | ∫u*dv = u*v-∫v*du |
if √a^2 - x^2 then... | asin(ø) |
if √a^2 + x^2 then... | atan(ø) |
if √x^2 - a^2 then... | asec(ø) |
∫1/x^2 | -1/x |
∫1/x | ln|x| |