TS EAMCET · Maths · Area Under Curves
The area bounded by the curves \(y=2 x^2\), \(y=\max \{x-[x]+|x|\}\) and the lines \(x=0, x=2\) (in sq units), is
- A 2
- B \(\frac{1}{2}\)
- C \(\frac{1}{3}\)
- D \(\frac{4}{3}\)
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
Given curves \(y=2 x^2\), \( \begin{aligned} y & =\max \{x-[x], x+|x|\} \\ & =\max \{(x), x+|x|\} \end{aligned} \) Now, graph of \(\{x\}\) \( \text { and graph of } x+\text { mode }|x|= \begin{cases}0, & x < 0 \\ 2 x, & x \geq 0\end{cases} \) Now, area bounded by \(y=2 x^2\) and…
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