# MATHS

Find the area of the region bounded by the curve of sin x between x = 0
and x = 2π.

1. 👍 0
2. 👎 0
3. 👁 51
1. Integral of sinx is -cosx . We will find the area up to pi & then double it;So Top limit- Lower limit: -cospi-(-cos0)=+1+1=2. Hence;4

1. 👍 0
2. 👎 0
posted by kay
2. thanks

1. 👍 0
2. 👎 0
posted by CASEY

## Similar Questions

1. ### 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

asked by Jessy152 on February 27, 2013
2. ### Calculus

Find the area of the region bounded by the line y=3x and y= x^3 + 2x^2? and find the area of the region bounded by the curve y=e^2x -3e^x + 2 and the x-axis?

asked by Akansha on May 10, 2011
3. ### Calculus

1. Find the domain for the particular solution to the differential equation dy/dx=3y/x, with initial condition y(1) = 1. A. x > 0 B. x < 0 C. x ≠ 0 D. All real numbers 2. Use geometry to evaluate the integral from negative 2 to

asked by Justin on August 1, 2019
4. ### calculus

A region is bounded in the second quadrant by the curve y = ln(1–x), the line y=3, and the y-axis. Find the area of the region.

asked by bex on May 22, 2014
5. ### math

Sketch the given region R and then find its area. R is the region bounded by the curve y=1/x^2 and the lines y=x and y=x/8

asked by Anna Kirakosyan on November 3, 2016
6. ### Calculus

Sketch the given region R and then find its area. R is the region bounded by the curve y=1/x^2 and the lines y=x and y=x/8.

asked by Anna Kirakosyan on November 3, 2016
7. ### Calculus

Find the centroid of the region bounded by the curve sin x on the interval (0, pi) and the x-axis. Please help

asked by AJ on May 12, 2011
8. ### Calculus AB: Area Between Curves

Hello! I'm having trouble understanding how I'm supposed to work out this problem. Any help would be appreciated! Find the area of the region bounded by the curve y = f(x) = x3 – 4x + 1 and the tangent line to the curve y = f(x)

asked by Pax on March 18, 2015
9. ### calculus

1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=-6, and y=7.

asked by katarina on May 15, 2012
10. ### calculus

Compute the area of the region in the fi…rst quadrant bounded on the left by the curve y = sqrt(x), on the right by the curve y = 6 - x, and below by the curve y = 1.

asked by bob on January 31, 2009

More Similar Questions