Wrapped in Chains
The derivative of
f(x) = sqrt(121-x^2
-x/sqrt(121-x^2)
The derivative of
f(t) = sin 2t
2cos 2t
The value of a in sqrt(x^(3)) =x^a
3/2
Before Global Warming, Dr. Lima was born in this city
Rio de Janeiro
int8x+x^2dx
x^2+x^3/3+c
The derivative of
f(x) = e^(2x^2)
4xe^(2x^2)
The derivative of
f(t) = - cos 2t
2sin 2t
The value of a in 8=2^a
3
Without this addend, the antiderivative is incomplete
+c
int2/(3x)dx
2/3lnx+c
The derivative of
f(x) = pi^(3x)
3pi^(3x)ln(pi)
The derivative of
f(t) = -1/2tan t^2
-tsec^2(t^2)
The value of a in x^2sqrtx=x^a
5/2
In no particular order, Dr. Lima' 3 favorite sports
Tennis, Soccer, Formula 1
intsqrtxdx
2/3x^(3/2)+c
The derivative of
f(x) = ln (3x-x^2)
(3-2x)/(3x-x^2
The derivative of
f(t) = cos^2 (t)
-2cos(t)sin(t)
The value of a in sqrtx/x^2 = x^a
-3/2
The relationship between a and b in int_{a}^{b}f(x)dx
a<b
int2dx
2x +c
The derivative of
f(x) = sqrt(ln x)
1/(2xsqrtlnx)
The derivative of
f(t) = cot^2(t)
-2cot(t)csc^2(t)
The value of a in 64x^5=(2x)^a
5
The first task in Calculus class involved calculating this to maximize the volume
The side length of a square
int(x+1)^2dx
(x+1)^3/3+ c