COMEDK · Maths · 31. Area Under Curves
If the area of region bounded by the lines \(y=2 x+1, x\)-axis, \(x=a\) and \(x=3\) is 10 sq units. Then the value of ' \(a\) ' is
- A 1
- B 0
- C 2
- D \(\dfrac{1}{2}\)
Answer & Solution
Correct Answer
(A) 1
Step-by-step Solution
Detailed explanation
The area \(A\) of the region bounded by the line \(y = 2x + 1\), the \(x\)-axis, \(x = a\), and \(x = 3\) is given by the definite integral of the function \(f(x) = 2x + 1\) from \(a\) to \(3\). \(A = \int_{a}^{3} (2x + 1) dx = 10\) Evaluating the integral:…
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