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....
Find the area of the region bounded by the curvey=x2−2x, the x-axis and the linesx=1andx=−1 View Solution The area of the region on place bounded by max(|x|,|y|)≤12is View Solution The area of the region bounded by the curvesy=x2,y=∣∣2−x2∣∣and y=2 which ...
The area of the region bounded by the curvesy=x2+2,y=x,x=0, andx=3is212or10.5square units. Show More | ShareSave Class 12MATHSAPPLICATION OF INTEGRALS Topper's Solved these Questions APPLICATION OF INTEGRALSBook:NCERTChapter:APPLICATION OF INTEGRALSExercise:SOLVED EXAMPLES ...
If you want to obtain the area of a region bounded between two curves represented by the functions f(y) and g(y) in a closed interval in which the curves intersect, in this interval you have to check that f(y) is greater than or equal to g(y) within that interval, ...
Find the area of the region bounded by the curves {eq}y=\sqrt[3]{x} \ and \ y=x^3 . {/eq} {eq}(A) \ \ \frac {1}{3}\\ (B) \ \ \frac {1}{2}\\ (C) \ \ \frac {5}{12}\\ (D) \ \ \frac {3}{4} {/e...
Answer to: Find the area of the region bounded by the curves y=sin \ x, y=x, x=0, x= \frac {\pi}{2} By signing up, you'll get thousands of...
Area of the region bounded by the curves can be found by sketching the graph of the region and then finding the limits of integration to evaluate the double integral.Answer and Explanation: The region bounded by the curves is shown To find the area bounded by the curves we ...
【题目】数学定积分求体积Sketch the region Ω bounded by the curves anduse the shell method to find the volume of the solid generated by revolving Ω about the y-aris.x=|y| ,x=2-y^2 相关知识点: 试题来源: 解析 【解析】Apparently, the graphs of both = |y| and r= 2 - y^2 are...
2-80,thexaxis, and the linesx= Find the area bounded by the linesy=3x,y=15-3x,and thexaxis. Find the area bounded by the parabolay=6+4x-x2and the chord joining(-2,-6)and(4,6). Find the area bounded by...
Find the area of the region, pictured below, bounded by the curves=x3-x2-4x-1andg(x)=x2-3x-3over the interval-1,2.Find the area of the region, pictured below, bounded by the curvesf(x)=x3-x2-4x-1andg(x)=x...