Fundamental Theorm of Calc
Indefinite Integral
Net Change Theorm
U-Substitution
Area Between Two Curves
100
Solve integral from one to two x^2 dx
What is 7/3
100
Integral 3x + x^2/x^2 dx
What is 3ln|x| + x + c
100
If v(t)= x^2 - 2x - 8 is the velocity of a function for a particle find the displacement over [0, 2]
What is -17.3
100
Integral cosx e^ sinx dx
What is e^ sinx + C
100
F(x) = 16 - x^2 and f(x) = x^ 2
What is 2integral from 0 to root 8 (16-x^2) - x^ 2 dx
200
Solve integral from 1 to 4 root (5/x) dx
What is 2 root 5
200
Integral root x^3 + cubed root of x^2 dx
What is 3/4 x^4/3 + 3/5 x^ 5/3 + c
200
V(t) = x^2 - x - 6. Find the displacement of particle on [1, 4]
What is -4.5
200
Integral cosxcos(sinx) dx
What is sin(sinx) + C
200
Y=x y=x^3
What is 2integral from 0 to 1 (x-x^3)
300
D/dx integral from 1/x^2 to 2 e^t dt
What is -e^(1/x^2) (-2/x^3)
300
Integral sinx + sinhx dx
What is -cosx + cosx+ C
300
V(t) = x^2 - x - 6 Find the distance traveled on [1, 4]
What is 10.16
300
Integral root x sin(1 + x^ 3/2) dx
What is -2/3 cos(1 + x^ (2/3)) + C
300
Y= 1/x y= 1/x^2. X=2
What is integral from 1 to 2 (1/x - 1/x^2) dx
400
Solve integral from 0 to 1 dx/root (1-x^2)
What is pi/2
400
Integral (1 - x) (2+ x^2) dx
What is 2x - x^2 + 1/3 x^3 - 1/4 x^ 4 + C
400
Find displacement and distance for v(x) = 3x - 5 [0, 3]
What is a) -3/2 b) 41/6
400
Integral e^x csce^x cote^x dx
What is -csce^x + C
400
Y= cosx, y= sinx, x= 0, x= pi
What is integral from 0 to pi/4 (cosx - sinx) dx + integral from pi/4 to pi (sinx - cosx)dx
500
Solve integral from 0 to pi/4 (1 + cos^2x/ cos^2x)
What is 1 + pi/4
500
Integral 1 + tan^2x dx
What is tanx + C
500
If a(t) = 2t + 3 is the acceleration function for a particle with v(0) = -4, find the distance covered over [0, 3]. Set up integral only.
What is negative integral 0 to 1 x^2 + 3x - 4 dt + integral x^2 + 3x - 4 dx
500
Integral from 0 to pi xcosx^2 dx
What is 0
500
Y= 3^x and y= 2x + 1
What is integral from 0 to 1 (2x + 1 - 3^ x) dx
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