AP EAMCET · Maths · Area Under Curves
The area of the region (in sq. units) enclosed by the curve \(y=x^3-19 x+30\) and the \(x\)-axis is
- A \(\frac{167}{2}\)
- B \(\frac{517}{2}\)
- C \(36\)
- D \(72\)
Answer & Solution
Correct Answer
(B) \(\frac{517}{2}\)
Step-by-step Solution
Detailed explanation
Given the curve, \(y=x^3-19 x+30\) \(\Rightarrow y=(x+5)(x-2)(x-3)\) \(=\int_{-5}^2 y d x-\int_2^3 y d x\) \(=\int_{-5}^2\left(x^3-19 x+30\right) d x-\int_2^3\left(x^3-19 x+30\right) d x\)…
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