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MATH141ch. 7.3 & 7.5
test 2
Answer | Question |
---|---|
a^r = ? | e^(r ln a) |
ln a^r = ? | r ln a |
d/dx a^x = ? | (ln a)a^x |
d/dx x^r = ? | rx^(r-1) |
S x^r dx = ? | 1/(r+1) x^(r+1) + C |
loga(b^r) = ? | r loga(b) |
S 1/ (x^2 + a^2) dx = ? | 1/a tan^-1 (x/a) + C |
S 1/ sqrt(a^2 - x^2) dx = ? | sin^-1 (x/a) + C |
S 1/ (x sqrt(x^2 - a^2)) dx = ? | 1/a sec^-1 (x/a) + C |
f(x)^ g(x) = ? | e^ ( g(x) ln f(x) ) |
S a^x dx = ? | 1/ (ln a) a^x + C |
loga(x) = ? | lnx / lna for all x>0 |