Questions from General Calculus


Q: Evaluate the integral. F3π/4π/2 sin5x cos3x

Evaluate the integral. F3π/4π/2 sin5x cos3x dx

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Q: Use long division to evaluate the integral. f r2/

Use long division to evaluate the integral. f r2/r + 4, dr

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Q: Use long division to evaluate the integral. f x3 +

Use long division to evaluate the integral. f x3 + 4/x2 + 4, dx

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Q: Use long division to evaluate the integral. f10 x3 –

Use long division to evaluate the integral. f10 x3 – 4x -10/ x2 – x – 6, dx

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Q: Make a substitution to express the integrand as a rational function and

Make a substitution to express the integrand as a rational function and then evaluate the integral.

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Q: A sphere of radius 1 overlaps a smaller sphere of radius in

A sphere of radius 1 overlaps a smaller sphere of radius in such a way that their intersection is a circle of radius r. (In other words, they intersect in a great circle of the small sphere.) Find r s...

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Q: Make a substitution to express the integrand as a rational function and

Make a substitution to express the integrand as a rational function and then evaluate the integral.

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Q: A wedge is cut out of a circular cylinder of radius 4

A wedge is cut out of a circular cylinder of radius 4 by two planes. One plane is perpendicular to the axis of the cylinder. The other intersects the first at an angle of 300 along a diameter of the c...

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Q: Evaluate the integral. f sin3 (mx) dx

Evaluate the integral. f sin3 (mx) dx

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Q: Evaluate the integral. f2π0 cos2 (6θ) dθ

Evaluate the integral. f2π0 cos2 (6θ) dθ

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