CUET · MATHS · PYQ PAPER 2023
Area of the region bounded by \(y=3 x, x\)-axis, and \(x=-1\) is :
- A \(-3 / 2\) sq. units
- B \(3 / 2\) sq. units
- C \(5 / 2\) sq. units
- D \(-5 / 2\) sq. units
Answer & Solution
Correct Answer
(B) \(3 / 2\) sq. units
Step-by-step Solution
Detailed explanation
\(A = \int_{-1}^{0} |3x| dx\) \(A = \int_{-1}^{0} (-3x) dx\) \(A = \left[ -\frac{3x^2}{2} \right]_{-1}^{0}\) \(A = \left( -\frac{3(0)^2}{2} \right) - \left( -\frac{3(-1)^2}{2} \right)\) \(A = 0 - \left( -\frac{3}{2} \right)\) \(A = \frac{3}{2}\) sq. units
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