Basic Derivative
f(x)=xn
f'(x)=nx(n-1)
Integral of xn
x(n+1)/(n+1)+C
The integral of 2x - 1
x2 - x + c
The definite integral between x = 0 and x = 1, of 4x3 dx
1
The film in which energy is harvested from screaming children
What is Monsters, Inc.?
f'(x)=ax.ln(a)
Integral of ax
ax/ln(a)+C
Integral of (3 - x)4
-1/5 (3 - x)5 +C
The definite integral between x = 3 and x = 6, of 2x(1- x) dx
-99
The real name of Mr Incredible
Who is Bob Parr?
f(x)=ln(x)
f'(x)=1/x
Integral of 1/x
ln|x|+C
Integral of -12e4x+1
-3e4x+1 + C
Without finding the primitive function, evaluate the integral from x=-1 to x=1 of 7x2 dx, stating a reason.
0, odd function
The voice actor for Lightning McQueen
Who is Owen Wilson?
f(x)=cos(x)
f'(x)=-sin(x)
Integral of sin(x)
-cos(x)+C
Integral of 7/(9x+4)
7/9 ln|9x+4| + C
Integral from x = 0 to x = 5pi/6, of sin(2x) dx
1/4
The name of the rat protagonist from Ratatouille
Who is Remy?
y = ef(x)
dy/dx = f'(x)ef(x)
Integral of sec2x
tan(x)+C
Integral of 3cos(5x) dx
3/5 sin(5x) + C
The exact value of the definite integral of 2x - ex from x equals -1 to 2.
5 - e2
The composer who wrote the soundtrack for Finding Nemo
Who is Thomas Newman?