Trig
Integral cosx dx
What is sinx + c
What is the limit definition of the derivative?
lim (f(x+h)-f(x))/h
h-->0
integral of 3x^2 +4x +2
What is x^3 +2x^2 +2x +C
Find the derivative of f(x)= 2x^3 -x^2 +3x
What is f'(x)= 6x^2 -2x +3
d/dx cot u
What is -csc^2 u
Derive -sinx dx
What is -cosx dx
What is the fundamental theorem of calculus?
What is Integral from b to a of f(x)dx = F(b)-F(a)
Integral of (t^2 +1)^2 dt
(1/5)t^5 +(2/3)t^3 +t +C
Use LHop to find the limit:
Lim (2x+1)/(4x^2 +x)
x-->inf
What is 0
d/dx cos^-1 u
What is - 1/ (√1-u^2)
derivative of sec(x) dx
What is secxtanx
What is the second fundamental theorem of calculus?
Proctor will give answer
integral of 1/(2x) dx
What is (1/2) ln|x| +C
Find dy/dx by implicit differentiation
x^3 +y^3 = 8
what is dy/dx = -x^2/y
Integration by parts formula: integral of udv
What is uv- integral vdu
Integral of tanx dx
What is ln|cosx| +c
What is f'(c)= (f(b)-f(a))/ (b-a)
Mean Value Theorem
Integral of 2/(√x) dx
What is 4x^1/2 +C
d/dx cos^2 x^2
What is -4xcosx^2 sinx^2
Find the inverse: f(x)= √x^2 -4, x>2
f^-1(x) =√x^2 +4
Derive (arccsc x)
-1/(|x|√x^2-1)
What is the trapezoidal rule
Proctor will check answer
integral of (x^3 +3)/x^2 dx
(1/2)x^2 - 3/x +C
if f(x)= xlnx , then f'''(e) equals
What is -1/e^2
d/dx a^u
What is a^u ln a du/dx