Practice Question on Application of Integrals
Q1. Determine the area within the circle defined by the equation x2+y2=r2, where r represents the radius of the circle.
Q2. Find the area enclosed by the curve y=2x2 and the horizontal line y=6.
Q3. Calculate the area bounded by the curve y2=4y−x and the y-axis.
Q4. Use integral calculus to find the area under the curve for the region enclosed by the ellipse x2/49 + y2/36 = 1.
Q5. Determine the region’s area under the curve y=2x2 considering the lines x=−2, x=4, and the x-axis.
Application of Integrals
Application of Integrals are used to find the area and volume of various 2-D and 3-D curves and they have vast applications in the fields of mathematics and physics. They generally help us to calculate the area of the curve, irregular contour, the volume of various curves, and others.
In this article, we will discuss Applications of Integral and its meaning. We will also understand its application and formulae to calculate the Integral value in mathematics. We will also solve various examples and provide practice questions for a better understanding of the concept of this article. We have to study the Application of Integrals in Class 12.
Table of Content
- Application of Integral in Mathematics
- Types of Integrals
- Application of Integrals
- Application of Integrals in Physics
- Examples on Applications of Integrals
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