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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 |