formule inegrale Flashcards
∫x dx
x²/2 + C
∫e^x dx
e^x + C
∫a^x dx
a^x/ln(a) + C
∫1/x^2-a^2 dx
1/2a ln|x-a/x+a|
∫1/sqrt(x^2 + a^2) dx
ln(x+ sqrt(x^2 + a^2))
∫1/sqrt(1-x²) dx
arcsin(x) + C
∫sinxdx
-cosx + c
∫cosxdx
sinx + c
∫x/sqrt(a^2 - x^2) dx
-sqrt(a^2 - x^2) + C
∫dx
x+c
∫xⁿ dx
x^(n+1)/(n+1) + C
∫sqrt(x) dx
2/3 xsqrt(x)
∫1/x dx
ln |x| + C
∫1/(x^2+1) dx
arcctg x + C
∫1/(x^2+a^2)dx
(1/a)arctan(x/a)+C
∫1/sqrt(x^2-a^2) dx
ln|x+ sqrt(x^2-a^2)| + C
∫1/sqrt(a^2-x^2) dx
arcsin(x/a)+C
∫tgx dx
-ln |cosx| + c
∫ctgxdx
ln|sinx| + C
∫1/cos²(x)dx
tgx + C
∫1/sin²x dx
-ctgx+C
∫x/sqrt(x^2-a^2) dx
sqrt(x^2 - a^2) + C
∫x/sqrt(x^2 + a^2) dx
sqrt(x^2 + a^2) + C
∫x/sqrt(a^2-x^2)
-sqrt(a^2-x^2)+C
∫cos2x
1/n sinnx+c
∫sin2x
-1/n cosnx+c
∫e^nx
e^nx/n + c
∫a^nx
a^nx/n lna +c
∫1/2sqrt(x)
sqrt(x)+c
∫1/3sqrt^3(x)
sqrt^3(x) +c
∫1/n sqrt^n(x^n-1)
sqrt^n(x) +c
