Question

The area of the region bounded by y = 5x, x-axis and x = 4 is (in square units)

• A. 40
• B. 80
• C. 20
• D. 50
• E. 60

Answer 1

The Correct Option is A

We are asked to find the area of the region bounded by the curve \( y = 5x \), the x-axis, and \( x = 4 \).

The area under the curve is given by the integral:

\( \text{Area} = \int_0^4 5x \, dx \). 

Now, compute the integral:

\( \int 5x \, dx = \frac{5x^2}{2} \).

Evaluate the integral from 0 to 4:

\( \left[ \frac{5x^2}{2} \right]_0^4 = \frac{5(4^2)}{2} - \frac{5(0^2)}{2} = \frac{5(16)}{2} = 40 \).

The correct answer is 40.