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Combination Formulas
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20
Flashcards
0/20
∫sin(x) dx\int \sin(x) \, dx∫sin(x)dx
−cos(x)+C-\cos(x) + C−cos(x)+C
∫1 dx\int 1 \, dx∫1dx
x+Cx + Cx+C
∫xa dx\int x^a \, dx∫xadx
xa+1a+1+C\frac{x^{a+1}}{a+1} + Ca+1xa+1+C
∫ln(x) dx\int \ln(x) \, dx∫ln(x)dx
xln(x)−x+Cx\ln(x) - x + Cxln(x)−x+C
∫1x dx\int \frac{1}{x} \, dx∫x1dx
ln∣x∣+C\ln|x| + Cln∣x∣+C
∫arctan(x) dx\int \arctan(x) \, dx∫arctan(x)dx
xarctan(x)−12ln(1+x2)+Cx\arctan(x) - \frac{1}{2}\ln(1+x^2) + Cxarctan(x)−21ln(1+x2)+C
∫tan(x) dx\int \tan(x) \, dx∫tan(x)dx
−ln∣cos(x)∣+C-\ln|\cos(x)| + C−ln∣cos(x)∣+C
∫ax dx\int a^x \, dx∫axdx
axln(a)+C\frac{a^x}{\ln(a)} + Cln(a)ax+C
∫sinh(x) dx\int \sinh(x) \, dx∫sinh(x)dx
cosh(x)+C\cosh(x) + Ccosh(x)+C
∫cos(x) dx\int \cos(x) \, dx∫cos(x)dx
sin(x)+C\sin(x) + Csin(x)+C
∫sec2(x) dx\int \sec^2(x) \, dx∫sec2(x)dx
tan(x)+C\tan(x) + Ctan(x)+C
∫eax dx\int e^{ax} \, dx∫eaxdx
1aeax+C\frac{1}{a} e^{ax} + Ca1eax+C
∫cosh(x) dx\int \cosh(x) \, dx∫cosh(x)dx
sinh(x)+C\sinh(x) + Csinh(x)+C
∫csc(x)cot(x) dx\int \csc(x)\cot(x) \, dx∫csc(x)cot(x)dx
−csc(x)+C-\csc(x) + C−csc(x)+C
∫csc2(x) dx\int \csc^2(x) \, dx∫csc2(x)dx
−cot(x)+C-\cot(x) + C−cot(x)+C
∫x dx\int x \, dx∫xdx
x22+C\frac{x^2}{2} + C2x2+C
∫dxx\int \frac{dx}{\sqrt{x}}∫xdx
2x+C2\sqrt{x} + C2x+C
∫cot(x) dx\int \cot(x) \, dx∫cot(x)dx
ln∣sin(x)∣+C\ln|\sin(x)| + Cln∣sin(x)∣+C
∫sec(x)tan(x) dx\int \sec(x)\tan(x) \, dx∫sec(x)tan(x)dx
sec(x)+C\sec(x) + Csec(x)+C
∫ex dx\int e^x \, dx∫exdx
ex+Ce^x + Cex+C
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