Calculus textbooks often have a table of integrals in the front or back cover or in an appendix. Use your integration skills to prove the formula below that is almost always found in these tables. ∫1a2-x2dx=sin-1xa+C{“version”:”1.1″,”math”:”∫1a2-x2dx=sin-1xa+C”}

What is the best definition for recombinant DNA?

The shaded region is the portion inside x2+y2=R2{“version”:”1.1″,”math”:”x2+y2=R2″} in the first quadrant. Set up and evaluate an integral that gives the area of this region.

In a carnival ride, passengers stand with their backs against the wall of a cylinder. The cylinder is set into rotation and the floor is lowered away from the passengers, but they remain stuck against the wall of the cylinder. For a cylinder with a 2.0-m radius, what is the minimum speed that the passengers can have so they do not fall if the coefficient of static friction between the passengers and the wall is 0.25?

Find the partial fraction decomposition of x+1×3+6×2+9x{“version”:”1.1″,”math”:”x+1×3+6×2+9x”}

Evaluate the indefinite integral:∫2x tan200(x2) sec4x2dx{“version”:”1.1″,”math”:”∫2x tan200(x2) sec4x2dx”}

The shaded region is the portion inside x2+y2=R2{“version”:”1.1″,”math”:”x2+y2=R2″} in the first quadrant. Set up and evaluate an integral that gives the area of this region.

In a carnival ride, passengers stand with their backs against the wall of a cylinder. The cylinder is set into rotation and the floor is lowered away from the passengers, but they remain stuck against the wall of the cylinder. For a cylinder with a 2.0-m radius, what is the minimum speed that the passengers can have so they do not fall if the coefficient of static friction between the passengers and the wall is 0.25?

Evaluate the indefinite integral:∫2x tan200(x2) sec4x2dx{“version”:”1.1″,”math”:”∫2x tan200(x2) sec4x2dx”}

What triggers the collapse of interstellar clouds to form stars? A density increase in a region of the cloud initiates the attraction of more material in the region by means of