Question:medium

The area of the region bounded by the curve \[ y=|x-2|+|x-8|, \] the X-axis and the lines \(x=0\) and \(x=10\) is:

Show Hint

For expressions involving \(|x-a|+|x-b|\), always split the interval at \(x=a\) and \(x=b\).

Updated On: Jun 18, 2026

\(50\)
\(68\)
\(100\)
\(98\)

Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?

0

Top Questions on Integration

Evaluate the integral: \[ \int \frac{\sqrt{\tan x}}{\sin x \cos x} \, dx \]
- MHT CET - 2025
- Mathematics
- Integration
View Solution
Evaluate the following integrals: \[ \int \frac{(x^4 + 1)}{x(2x + 1)^2} \, dx \] and \[ \int \frac{1}{x^4 + 5x^2 + 6} \, dx \]
- MHT CET - 2025
- Mathematics
- Integration
View Solution
Using integration, find the area of the ellipse: \[ \frac{x^2}{16} + \frac{y^2}{4} = 1, \] included between the lines \(x = -2\) and \(x = 2\).
- CBSE Class XII - 2024
- Mathematics
- Integration
View Solution
Using integration, find the area of the region enclosed between the circle \( x^2 + y^2 = 16 \) and the lines \( x = -2 \) and \( x = 2 \).
- CBSE Class XII - 2024
- Mathematics
- Integration
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in TS EAMCET exam

If \( f(x)=\tan \left(\frac{\pi}{\sqrt{x+1}+4}\right) \) is a real valued function then the range of \( f \) is

TS EAMCET - 2025
Algebra

The range of the real valued function \( f(x)=\sin ^{-1}\left(\sqrt{x^{2}+x+1}\right) \) is

TS EAMCET - 2025
Algebra

1+(1+3)+(1+3+5)+(1+3+5+7)+... to 10 terms =

TS EAMCET - 2025
Algebra

If the augmented matrix corresponding to the system of equations \( x+y-z=1 \), \( 2x+4y-z=0 \) and \( 3x+4y+5z=18 \) is transformed to \( \begin{bmatrix} 1 & a & 0 & -1 \\ 0 & 2 & 1 & b \\ 0 & 0 & c & 32 \end{bmatrix} \), then

TS EAMCET - 2025
Algebra