WBJEE · Maths · Area Under Curves
The area enclosed by \(y=3 x-5, y=0, x=3\) and \(x=5\) is
- A 12 sq. units
- B 13 sq. units
- C \(13 \frac{1}{2}\) sq. units
- D \(14 \mathrm{sq}\). units
Answer & Solution
Correct Answer
(D) \(14 \mathrm{sq}\). units
Step-by-step Solution
Detailed explanation
Hints: \(A=\int_3^5(3 x-5) d x\) \(=\frac{3}{2}\left(x^2\right)_3^5-5(x)_3^5,=\frac{3}{2}[25-9]-5(5-3)\) \(\frac{3}{2} \cdot 16-5(2)=24-10=14\)
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