TS EAMCET · Maths · Area Under Curves
The area bounded by the curve \(y=x^3-3 x^2+2 x\) and the \(X\)-axis is (in square units)
- A \(\frac{1}{2}\)
- B \(\frac{5}{2}\)
- C 1
- D 4
Answer & Solution
Correct Answer
(A) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
Area Bounded by \( \begin{aligned} y & =x^3-3 x^2+2 x \text { and } X \text {-axis } \\ y & =x\left(x^2-3 x+2\right) \\ \Rightarrow \quad y & =x(x-1)(x-2) \end{aligned} \) Similarly part in 0 to 1 and 1 to 2…
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