The area of the region between the curves is defined as the integral of the upper curveminus the integral of the lower curve over each region. The regions are determined by the intersectionpoints of the curves. This can be done algebraically or graphically. ( Area=(∫ )_(-1)^1-x^2...
题目Find the exact area between the curves y=ln x and y=ln 3x from x=1 to x=3. 相关知识点: 试题来源: 解析 2ln3 \int _{1}^{3}\ln\left(3x\right)-\ln\left(x\right)\d x\int _{1}^{3}\ln \left(\dfrac {3x}{x}\right)\d x\int _{1}^{3}\ln 3\d x\ln 3\int _...
Find the area between x-axis and the curvey=sinx, fromx=0tox=π. View Solution The ratio of the areas between the curvesy=cosxandy=cos2xand x-axis fromx=0tox=π3is View Solution The area between the curvey=xsinxand x-axis whereo≤x≤2π, is ...
Find the area between the curves. {eq}x = -2, x = 3, y = 7x, y = x^2 - 8 {/eq} Area of a Plane Region: When a region of the plane is limited by Cartesian curves, the area is calculated using one of the applications of the defined integrals. An integral delimi...
Find the area between the curve y = tan x and the x-axis from {eq}x = -\pi/4 {/eq} to {eq}x = \pi/3 {/eq}.Area of Region between two Curve:Let {eq}f\left( t \right) {/eq} and {eq}g\left( t \right) {/eq} be two functions of two curv...
Find the area enclosed by the curves f ( x ) = 16 x and g ( x ) = x 4 . Find the area enclosed between the curves y = x^2 and y = x. Find the area enclosed by the curves, y = x^2 - 2 x + 2 and y = 2 x - 1. Find the area enclosed by ...
The area enclosed between the curvey=loge(x+e)and the coordinate axes is View Solution Find the area enclosed between the curvey=logx1,X-axis and ordinatesx=12andx=32. View Solution The curvex=logy+eandy=log(1x) View Solution The area between the curvesy=lnxandy=(lnx)2is ...
百度试题 结果1 题目Find the area bounded by the curves r =3cos0 and r=1+cos0 相关知识点: 试题来源: 解析 50totalarea=2*(5/8π)=5/4π So total area =2x = 兀 反馈 收藏
You can use the symmetry of the region and obtain the \mathrm{area}=2\int _{0}^{2}(4-y^{2})\d y.An alternative method is to find the area by setting up an integral with respect to the x-axis and expressing x=y^2 as y=√ x and y=-√ x....
We use definite integral to find the area and the volume enclosed by the two curves. The area {eq}A {/eq} of the region enclosed by the curves {eq}y=f(x), \ \ y=g(x) {/eq} is determined as given below: {eq}...