The area between the curve y = 2x4 – x2 the X – axis and the ordinates of two minima of the curve is

y=2x4−x2;dydx=8x3−2x dydx=0⇒x=0,x=±12; Area=∫−1/21/2ydx

The area between the curve y = 2x4 – x2 the X – axis and the ordinates of two minima of the curve is

y=2x4−x2;dydx=8x3−2x dydx=0⇒x=0,x=±12; Area=∫−1/21/2ydx

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The area between the curve y = 2x⁴ – x²the X – axis and the ordinates of two minima of the curve is

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$\frac{9}{120}$

$\frac{7}{120}$

$\frac{11}{120}$

$\frac{1}{12}$

answer is B.

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$\begin{aligned} y = 2 x^{4} - x^{2}; \frac{d y}{d x} = 8 x^{3} - 2 x \\ \frac{d y}{d x} = 0 \Rightarrow x = 0, x = \pm \frac{1}{2}; \\ Area = \int_{- 1 / 2}^{1 / 2} y d x \end{aligned}$

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The area between the curve y = 2x4 – x2 the X – axis and the ordinates of two minima of the curve is

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The area between the curve y = 2x⁴ – x²the X – axis and the ordinates of two minima of the curve is