That was easy
Can U See What I See?
Sum Mo Approximo
FTC=
Fun Time in Calculus
Fun Time in Calculus
Miss, Miss Not MISScellaneous
100
int_-1^1 3/(x^2+1) dx=
(3pi)/2
100
The graph above is the f function. Find:
int_pi^pi f(x) \ dx=
What is
0
100
f(t) is measured in ft/sec and t is measure in sec.
This table shows the velocity of an ant who drank too much pop. Use a RRAM with 4 subintervals to approximate the distance the ant traveled.
What is
112 feet
100
d/dx int_7^x (11t-1) \ dt=
What is
11x - 1
100
If you have a RRAM on an increasing function, will the approximation be an underestimate or overestimate?
overestimate
200
int_0^1xe^(x^2-2)dx=
1/2(e^(-1)-e^(-2))
200
The graph of f(x) is shown above.
What is the value
int_1^4 f(x) \ dx =
What is
-4.5
200
f(t) is measured in ft/sec and t is measure in sec.
This table shows the velocity of an ant who drank too much pop. Use a MRAM with 2 subintervals to approximate the distance the ant traveled.
What is
83 feet
200
d/dx int_x^3 (sec t) \ dt=
What is
- sec x
200
Find the average value of f(x)=x3 on the closed interval [0, 2].
2
300
Integrate
int_-2^-1 (1/x+e^x) \ dx=
What is e -1 - e -2 - ln 2
300
The graph of f(x) is shown above.
What is the value
int_6^3 f(x) \ dx=
What is
-4
300
f(t) is measured in ft/sec and t is measure in sec.
This table shows the velocity of an ant who drank too much pop. Use the Trapezoidal Rule with 4 subintervals to approximate the distance the ant traveled.
What is
85.5 feet
300
Find F' when
F(x) = int_pi^(x^2) (5lnt) \ dt=
What is
F'(x) = 10x ln x2
300
f(x)={(-x, 2<=x<2),(x+3,2<=x<=6):}
int_(-2)^6 f(x)dx
28
400
int 1/sqrt(8+2x-x^2) dx
arcsin((x-1)/3)+C
400
The graph of f is shown above. Find g(6) when
g(x)= int_2^x f(t) \ dt
What is
4.5
400
Approximate the integral using a LRAM with 5 subintervals.
int_0^pi (sinx) \ dx approx
What is
1.934
400
Find F' when
F(x) = sin^2 (4x) - int_8^(4x+1) (t+8) \ dt=
What is
F'(x) = 8sin(4x)cos (4x) - 4(4x+9)
400
Express as a definite integral
lim_(x->oo) sum_(i=1)^n 2/(1+((3i)/n)^4)(3/n)
int_0^3 (2/(1+x^4))dx
500
int(x^2+1)/(x+1) dx=
x^2/2-x+2ln|x+1|+C
500
The graph of f is shown above. Find the absolute minimum value of g when
g(x)= int_3^x f(t) \ dt
What is
-5.5
500
Use the TRAP Rule with 3 equal subintervals to approximate
int_0^7 (3x^3+2) \ dx approx
What is
2014.833
500
Find F' when given
F(x) =5^(6x)+ int_(7x)^(cotx)tdt
F'(x)=5^(6x)ln(5)(6)-csc^2xcotx -49x
500
lim_(x->oo)sum_(i=1)^n (1+(5i)/n)ln(1+(5i)/n)(5/n)
int_1^6(xlnx)dx