Question

find the area between the lines y=3x, x-axis & the ordinates x=1&x=5​

Answer 1

Answer:

answer is 36sq units

Step-by-step explanation:

Answer 2

The area between the lines y = 3x, x-axis & the ordinates x = 1 & x = 5​ is 36 sq. units

Step-by-step explanation:

Given,

y = 3x

x = 1 and x = 5

We have to find the area between the lines.

By Integration, we have

$Area= \int_{1}^{5} (3x - 0)$

$Area = \int_{1}^{5} (3x)$

$Area = \int_{1}^{5}(3x^{2/2})$

$Area = (3*5^{2/2}) - (3 *1^ {2/2})$

$Area = \frac{75}{2} - \frac{3}{2}$

$Area = \frac{75-3}{2}$

$Area = \frac{72}{2}$

$Area = 36$

Hence, the area between the lines y = 3x, x-axis & the ordinates x = 1 & x = 5​ is 36 sq. units.

Coordinate geometry

The study of geometry using coordinate points is known as coordinate geometry. It is possible to determine distances between two points, divide lines into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations using coordinate geometry.

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