limits of integration | MATHalino reviewer about limits of integration

Problem
Evaluate $\displaystyle \int_0^1 \dfrac{x \, dx}{x^2 + 2}$.

A. 0.2027	C. 0.2270
B. 0.2207	D. 0.2072

Read more about Evaluate the integral of (x dx) / (x^2 + 2) with lower limit of 0 and upper limit of 1
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Example 6
Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x.

Read more about Example 6 | Plane Areas in Rectangular Coordinates
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Example 3
Find the area bounded by the curve x = y² + 2y and the line x = 3.

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Example 2
Find the area bounded by the curve a² y = x³, the x-axis and the line x = 2a.

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Example 1
Find the area bounded by the curve y = 9 - x² and the x-axis.

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There are two methods for finding the area bounded by curves in rectangular coordinates. These are...

by using a horizontal element (called strip) of area, and
by using a vertical strip of area.

The strip is in the form of a rectangle with area equal to length × width, with width equal to the differential element. To find the total area enclosed by specified curves, it is necessary to sum up a series of rectangles defined by the strip.

Using Horizontal Strip

Read more about Plane Areas in Rectangular Coordinates | Applications of Integration
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