Natural Logs/ Logs
ʃ (1/x)dx
ln(x)+C
What is the formula for integration by parts?
uv-ʃ(vdu)dx
ʃ(dx)
x+c
ʃ(e^x)dx
e^x+c
ʃ(cos(x))dx
sin(x)+c
ʃ(2x/x^2)dx
2ln(x)+c
ʃ(xe^x)dx
xe^x-e^x+c
ʃ(x^2+x)dx
1/3x^3+1/2x^2+c
ʃ(7e^2x)dx
7/2e^2x+c
ʃ(sin(x)-cos(x))dx
-cos(x)-sin(x)+c
ʃ(log(x))dx
x(log(x)-1)+c
ʃ(x^2cos(x))dx
x^2sinx+2xcosx-2sinx+c
ʃ(4x^3-2x^2-x-2)dx
x^4-2/3x^3-1/2x^2-2x+c
ʃ(arccosx)dx
xarccosx-sqroot(1-x^2)+c
ʃ(sin(x)+2x)dx
-cos(x)+x^2+c
ʃ((2x/x^2)-(3x^2/x^3))dx
-ln(x)+c
ʃ(x^4e^x)dx
x^4e^x-4x^3e^x+12x^2e^x-24xe^x+24e^x+c
ʃ(6x^5+1/x)dx
x^6+ln(x)+c
ʃ(arcsinx+e^x)dx
xarcsinx+sqroot(1-x^2)+e^x+c
ʃ(sec(x))dx
log(sin(x/2)+cos(x/2))-log(cos(x/2)-sin(x/2))+c
ʃ(dx/xln(x))dx
ln(ln(x))+c
looking at the equation ʃ(xlnxdx) what is the v?
1/2x^2
What do you always want to use when dealing with indefinite integration?
c
ʃ(arctanx)dx
xarctanx-1/2ln(1+x^2)+c
ʃ(tan(x))dx
-log(cos(x))+C