L'Hopital's Rule
What are the indeterminate forms? (You must name at least 4)
0/0, infinity/infinity, 0 x infinity, infinity - infinity, 00, 1infinity, infinity0
Integral of cotx dx=...
ln (sinx)+c
What is the pythagorean theorem?
a^2 + b^2 = c^2
The integration by parts formula states that integral udv=...
What is uv-integral vdu
How would you set up the formula to find the integral of 3/(x^2+5x+6) using Partial Fraction Decomposition?
3 = A/(x+2) + B/(x+3)
lim x to 2 of (x^3-7x^2+10x)/(x^2+x-6)
-6/5
Integral of cos(2x - 8)dx from [2,3]
1/2(sin 4 - sin 2)
Integral of 12/x(x^2-4)^1/2dx
6arcsec(x/2) + C
Integral of xe^xdx
e^x(x-1) + C
Integral of x^2 + 5x +6/ x+2 dx
x^2/x + 3x + C
lim of t to infinity of t(ln(1+3/t)
3
Integral of 2sin^2(x)dx
x-sin(2x)/2 + C
Integral of 12(x^2-4)^1/2/xdx
12(x^2-4)^1/2-24arcsec(x/2) + C
Integral of x^2lnxdx
x^3/3lnx - x^3/9 + C
Integral of (5x+1)/ (x^2-4x +3)dx
-3ln|x-1| + 8ln|x-3| + C
lim of x to 1 (from the right) of (x-1)(tan(pix/2))
-2/pi
Integral of 4cos^3(x)dx
4sinx - 4/3 sin^3x + C
Integral of dx/x(9-x^2)^1/2
-(9-x)^1/2/9x + C
Integral of xarctan(x)dx
(x^2+1)/2arctan(x) - x/2 + C
Inetgral of 2x^2 + 3x + 1/ x(x-1)^2dx
ln x + ln x-1 - 6/x-1 + C
lim of y to 0 (from the right) of (cos(2y))^1/y^2
e^-2
Integral of tan^2xsec^4xdx
tan^3x/3 + tan^5x/5 + C
Integral of x^3/(25-x^2)^1/2dx
((25-x)^3/2)/3 - 25(25-x^2)^1/2 + C
Integral of e^xcosxdx
1/2e^x(sinx+cosx) + C
Integral of 3x^2 + 2x +1/ (x^2+1)(x-1)dx
3 ln x-1 + 2arctanx + C