AP EAMCET · Maths · Area Under Curves
The area enclosed by the curves \(y=x|x|\), \(x=-1\) and \(x=1\) is.......... sq units.
- A \(\frac{3}{2}\)
- B \(\frac{2}{3}\)
- C \(\frac{5}{3}\)
- D \(\frac{7}{3}\)
Answer & Solution
Correct Answer
(B) \(\frac{2}{3}\)
Step-by-step Solution
Detailed explanation
Given, curves are \(y=x|x|=\left\{\begin{array}{cc}x^2 & ; \quad x \geq 0 \\ -x^2 & ; \quad x We have plotted the figure and shaded regions are the area enclosed by the curves and area of 1 first part \(=\) Area of II second part.…
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