Calc
posted by Darren .
Calculate the area under the curve y=e^x above the x axis on the interval [1, infinity).
a. infinity
b. 0
c. 1/e
d. 1/e
e. none of the above

integral e^x dx = e^x
so
e^oo  (e^1)
= 0 + 1/e
Respond to this Question
Similar Questions

Algebra
Solve x(x7)(x9)<0 and express the solution set in interval notation. A. (–infinity, 0) B. (–infinity, 0) U (7, 9) C. (–infinity, 0) U (9, infinity) D. (–infinity, 9) 
Calculus
Find the horizontal asymptote of f(x)=e^x  x lim x>infinity (e^x)x= infinity when it's going towards infinity, shouldn't it equal to negative infinity, since 0infinity =  infinity lim x> infinity (e^x)x= infinity 
MATH
I have been trying to do this problem for a couple of days but i cant seem to get the answer. Any help would be greatly appreciated. For each of the following forms determine whether the following limit type is indeterminate, always … 
Calc
Evaluate the integral or show that it diverges: Integrand 0, lower, to 3, upper, (1/x)dx. a. infinity b. negative infinity c. 0 d. ln 3 e. none of the above 
Please check my Caclulus
1. Find all intervals on which the graph of y=(x^2+1)/x^2 is concave upward. A. (negative infinity, infinity) B. (negative infinity, 1) U (1, infinity) C. (negative infinity, 0) U (0, infinity) D. (1, infinity) E. none of these I … 
Please check my Calculus
1. Find all critical values for f(x)=(9x^2)^⅗ A. 0 B. 3 C. 3,3 D. 3, 0, 3 E. none of these I got D. I found the derivative and solved for critical numbers. 2. Find all intervals on which the graph of f(x)=(x1)/(x+3) is concave … 
Please check my Calculus
1. Given f(x)=6/x, choose the correct statement A. The graph of f is concave upward on the interval (negative infinity, 0) B. The graph of f is concave downward on the interval (negative infinity, 0) C. The graph of f is concave upward … 
Please check my Calculus
1. Find all points of inflection of the function f(x)=x^46x^3 A. (0, 0) B. (0, 0), (9/2, 2187/16) C. (3, 81) D. (0, 0), 3, 81) E. none of these I got D. I found the second derivative and solved for x and plugged values into original … 
Please check my Calculus
1. Find the value(s) of c guaranteed by Rolle’s Theorem for f(x)=x^2+3x on [0, 2] A. c=3/2 B. c=0, 3 C. Rolle’s Theorem doesn’t apply as f is not continuous on [0, 2] D. Rolle’s Theorem doesn’t apply as f(0) does not equal … 
algebra 2
what is the domain in interval notation when the restrictions are x cannot = 2 and x cannot = 2?