# calculus

posted by .

find the area of the region under the curve y=f(x)=e^2x
over the indicated interval x<2

• calculus -

Int(e^2x dx) = 1/2 e^2x

1/2 (e^4 - e^-oo) = 1/2 e^4

## Similar Questions

Approximate the area under each curve over the specified interval by using the indicated number of subintervals and evaluating the function at the right-hand endpoints of the subintervals. 1. f(x)=9-x^2 from x=1 to x=3; 4 subintervals. …
2. ### Calculus

These are the two problems from my homework I don't get.. can you help me?
3. ### calculus

Find area of the region under the curve y = 5 x^3 - 9 and above the x-axis, for 3¡Ü x ¡Ü 6. area = ?
4. ### CALCULUS

what is the area in square units of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3?
5. ### Calculus Help!!

Region R is bounded by the functions f(x) = 2(x-4) + pi, g(x) = cos^-1(x/2 - 3), and the x axis. a. What is the area of the region R?
6. ### Calculus

1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the x-axis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where …
7. ### Calculus

Use the limit process to find the area of the region between the graph of the function and the x-axis over the indicated interval. Sketch the region. y=2x-x^(3), [1,3]
8. ### calculus

Find the area of the region under the curve y = 16 e ^{4 x} between x = -1.4 to x =1.4 .
9. ### calculus

find the area under the curve y= 1/(3x+1)^2 over the interval [0,1]. please show all steps
10. ### Calculus

Find the area of the region under the curve y=x+2 over the interval [1,4].

More Similar Questions