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Integrate
∫(4x^2+x+3)dx
4/3x^3+x^2/2+3x+C
Use the Fundamental Theorem of Calculus to evaluate ∫(3+x)dx on [0,8]
56
Integrate
∫[x^2/(sqrt(x^3+3))]dx
2/3 sqrt(x^3+3)+C
Use the Fundamental Theorem of Calculus to evaluate ∫(secx)^2dx on [-pi/4,pi/4]
2
Name the largest continent
Asia
Integrate
∫(2x-9 sinx )dx
x^2 + 9cosx+C
Use the Fundamental Theorem of Calculus to evaluate ∫(4x^3-2x)dx on [-1,1].
0
Integrate
∫[x(1-3x^2)^4]dx
(-1/30)(1-3x^2)^5 +C
Use the Fundamental Theorem of Calculus to evaluate ∫cos(x/2)dx on [0,pi]
2
During which years was the American Civil War fought?
1861 - 1865
Integrate
∫(t+e^t )dt
t^2/2+e^t+C
Use the Fundamental Theorem of Calculus to evaluate ∫(xsqrt(x)) dx on [4,9].
422/5
Integrate
∫[(sinx)^3cosx]dx
(1/4)(sinx)^4+C
Use the Fundamental Theorem of Calculus to evaluate ∫sin(2x) dx on [-pi/4,pi/4]
0
How many teeth do adults have?
32
Integrate
∫(10/x) dx
10ln|x| + C
Use the Fundamental Theorem of Calculus to evaluate ∫(3/x)dx on [1,6]
3ln(6)
Integrate
∫[xe^(-3x^2)]dx
(-1/6)e^(-3x^2)+C
Integrate ∫1/(3+25x^2)dx
(1/5sqrt(3))arctan (5x/sqrt(3)) + C
Who wrote "The Art of War"?
Sun Tzu
Integrate
∫[6(5^x) dx]
6(5^x)/ln(5) + C
Use the Fundamental Theorem of Calculus to evaluate ∫x(x^2-6)dx on [-2,1]
21/4
Integrate
∫[(x+1)5^[(x+1)^2]]dx
(1/2ln5)(5^[(x+1)^2])+C
Integrate
∫x/(sqrt(1-x^4))
(1/2)arcsin(x^2)+C
How many elements are in the Periodic Table?
118