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Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.$y =x^2$ , $x^2 + y^2 = 1$ , $y \ge 0$(a) About the x-axis(b) About the y-axis

a) $V=\pi \int_{-0.786}^{0.786} 1-x^{2}-x^{4} d x \approx 3.544596$b) $V \approx 1$

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Catherine R.

Missouri State University

Heather Z.

Oregon State University

Caleb E.

Baylor University

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Ohio State University

Catherine R.

Missouri State University

Heather Z.

Oregon State University

Caleb E.

Baylor University

Lectures

Join Bootcamp