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Integral Study
| Question | Answer |
|---|---|
| ∫0dx | c (a constant) |
| ∫1dx | x + c |
| ∫x^ndx | (1/(n+1))x^(n+1) + c |
| ∫e^xdx | e^x + c |
| ∫(a^x)ln(a)dx | a^x + c |
| ∫x'/xdx | ln|x| + c |
| ∫x'/xln(a)dx | log(a)x + c |
| ∫cos(x)dx | sin(x) + c |
| ∫-sin(x)dx | cos(x) + c |
| ∫sec^2(x)dx | tan(x) + c |
| ∫-csc(x)dx | cot(x) + c |
| ∫sec(x)tan(x)dx | sec(x) + c |
| ∫-csc(x)cot(x)dx | csc(x) + c |
| ∫(1/sq(1-x^2))dx | sin^-1(x) + c |
| ∫(-1/sq(1-x^2))dx | cos^-1(x) + c |
| ∫(1/((x^2)+1))dx | tan^-1(x) + c |
| ∫(-1/((x^2)+1))dx | cot^-1(x) + c |
| ∫(1/|x|sq((x^2)-1))dx | sec^-1(x) + c |
| ∫(-1/|x|sq((x^2)-1))dx | csc^-1(x) + c |
| ∫-1/(x^2)dx | 1/x + c |