MHT CET · Maths · Area Under Curves
The area of the region bounded by curves \(y=3 x+1, y=4 x+1\) and \(x=2\) is
- A 1 sq. units
- B 2 sq. units
- C 3 sq. units
- D 4 sq. units
Answer & Solution
Correct Answer
(B) 2 sq. units
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \text { Required area } & =\int_0^2[4 x+1-(3 x+1)] \mathrm{d} x \\ & =\int_0^2 x \mathrm{~d} x=\left[\frac{x^2}{2}\right]_0^2=2 \text { sq. units }\end{aligned}\)
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