Show:
Indefinite Integrals
Derivatives
Limits
Summation
Implicit Differentiation
100
∫▒〖x^4dx〗
x^5/5
100
x^6
6x^5
100
lim┬(x→-2)⁡〖⋮x-2⋮〗
4
100
∑_(k=1)^5▒〖(2k+1 ¦)
35
100
y^3
3y^2dy/dx
200
∫▒〖(2x-3x^2)dx〗
x^2-x^3+C
200
(4x-5x^5)^7
7(4x-5x^5)^6(4-25x^4)
200
lim┬(x→3)⁡〖(3x^2+7)〗
34
200
∑_(k=0)^4▒〖1/(k^2+1)
158/85
200
d/dx(xy^2)
(2xy)dy/dx+y^2
300
∫▒〖(x^2+x-1/√x)dx〗
2/15x^1/2(3x^2+5x+15)+C
300
cos^2x
-2cosxsinx
300
lim┬(x→π)⁡〖(xcosx)〗
-π
300
∑_(k=1)^15(k(k-1)^2
2930
300
dy/dx(y^3+y^2-5y-x^2=4 check this!
dy/dx=2x/3y^2+2y-5
400
∫▒〖〖(tan〗^2⁡ y+1)dy〗
tany+c
400
1/2∛(x^2)
-1/3x^5/3
400
lim┬(x→0)⁡〖(√(x+1))〗-1)/x
1/2
400
∑_(k=1)^10((2k+1)/n^2
1.2
400
Find slope of 3(x^2+y^2)^2=100xy at (3,1)
13/9
500
∫▒sin^2⁡〖 3xcosxdx〗
1/9sin^33x+c
500
(3x-1/x^2+3)^2
2(3x-1)(-3x^2+2x+9)/(x^2+3)^3
500
lim┬(∆x→0)⁡〖(x+∆x)^2-2(x+∆x)+1-(x^2-2x+3))/∆x〗
2x-2
500
∑_(k=1)^100(6k(k-1)/n^3
1.998
500
Tangent line to x^2(x^2+y^2)=y^2 at (√2/2,√2/2)
y=3x-√2