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the area of the region bounded by the line y 2x 1
Question:
The area of the region bounded by the line
$y = 2x + 1$
,
$x $
- axis and the ordinates
$x = -1$
and
$x = 1$
is
KCET - 2020
KCET
Updated On:
May 11, 2024
$\frac{9}{4}$
$2$
$\frac{5}{2}$
$5$
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Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
Area bounded by
$y = 2x+1$
with
$x$
- axis
$= (1/2) (1/2)(1) +(1/2) (3/2)(3) $
$= 5/2$
s units.
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Concepts Used:
Area under Simple Curves
The area of the region bounded by the curve y = f (x), x-axis and the lines x = a and x = b (b > a) - given by the formula:
\[\text{Area}=\int_a^bydx=\int_a^bf(x)dx\]
The area of the region bounded by the curve x = φ (y), y-axis and the lines y = c, y = d - given by the formula:
\[\text{Area}=\int_c^dxdy=\int_c^d\phi(y)dy\]
Read More:
Area under the curve formula