TS EAMCET · Maths · Area Under Curves
The area enclosed (in square units) by the curve , the -axis and the vertical lines passing through the two minimum points of the curve is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
Given that y=x4-x2 For minimum points of curve: ddxx4-x2=0 4x3-2x=0 2x2x2-1=0 ⇒2x=0 or 2x2-1=0 x=0 or x=±12 So f is minimum at ±12 The area =∫-1212x4-x2dx =2∫012x4-x2dx ∵ fx is even function…
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