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Calc - Test #2
| Question | Answer |
|---|---|
| a^2-x^2 | x=a sin(theta) |
| a^2+x^2 | x=a tan(theta) |
| x^2-a^2 | x= a sec(theta) |
| integral of sin(ax) dx | -1/a cos(ax) |
| integral of cos(ax) | 1/a sin(ax) |
| integral of sec²(ax) dx | 1/a tan(ax) |
| integral of sec(ax)tan(ax) dx | 1/a sec(ax) |
| integral of csc(ax)cot(ax) dx | -1/a csc(ax) |
| integral of csc²(ax) dx | -1/a cot(ax) |
| integral of 1/(a²+x²) dx | 1/a tan(x/a) |
| integral of 1/(sqrt(a²-x²)) dx | arcsin(x/a) |
| integral of 1/x dx | ln|x| |
| integral of e^ax dx | 1/a e^ax |
| integral of b^ax | b^ax/aln(b) |
| integral of tan(ax) | 1/a ln|sec(ax)| |
| integral of sec(ax) | 1/a ln|sec(ax)+tan(ax)| |
| integral of csc(ax) | -1/a ln|csc(ax)+cot(ax)| |
| integral of cot(ax) | -1/a ln|csc(ax)| |
| sin(2x) | 2sin(x)cos(x) |
| ln(e) | 1 |
| ln(1) | 0 |
| ln(0) | undefined |
| sin^2(x)+cos^2(x) | 1 |
| sec^2(x)-tan^2(x) | 1 |
| csc^2(x)-cot^2(x) | 1 |
| sin^2(x) | (1-cos(2x))/2 |
| cos^2(x) | (1+cos(2x))/2 |
| limit as x approaches infinity of arctan(x) | pi/2 |
Created by:
luciareynal