MHT CET · Maths · Area Under Curves
The area bounded by the curve, \(y=-x^2\), x-axis, \(x=1\) and \(x=4\), is
- A 21 sq. units
- B 10 sq. units
- C 20 sq. units
- D \(\frac{21}{2}\) sq. units
Answer & Solution
Correct Answer
(A) 21 sq. units
Step-by-step Solution
Detailed explanation
\(-\int_1^4\left(-x^2\right) \mathrm{d} x=\left[\frac{x^3}{3}\right]_1^4=\frac{64}{3}-\frac{1}{3}=21\) sq. units
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