Questions from General Calculus

Q: Evaluate the indefinite integral. f (3x – 2)

Evaluate the indefinite integral. f (3x – 2)20 dx

Q: Evaluate the integral using integration by parts with the indicated choices of

Evaluate the integral using integration by parts with the indicated choices of u and dv.

Q: Evaluate the integral. f p5 ln p dp

Evaluate the integral. f p5 ln p dp

Q: Find the area of the region bounded by the parabola y =

Find the area of the region bounded by the parabola y = x2, the tangent line to this parabola at (1, 1) and the x-axis.

Q: Evaluate the integral. f sin-1x dx

Evaluate the integral. f sin-1x dx

Q: Evaluate the integral. f e2θ sin 3θ dθ

Evaluate the integral. f e2θ sin 3θ dθ

Q: Evaluate the integral. f e-θ cos 2θ dθ

Evaluate the integral. f e-θ cos 2θ dθ

Q: Evaluate the integral. fπ0 t sin 3t dt

Evaluate the integral. fπ0 t sin 3t dt

Q: Evaluate the integral. f10 (x2 + 1) e

Evaluate the integral. f10 (x2 + 1) e-x dx

Q: Three mathematics students have ordered a 14-inch pizza. Instead

Three mathematics students have ordered a 14-inch pizza. Instead of slicing it in the traditional way, they decide to slice it by parallel cuts, as shown in the figure. Being mathematics majors, they...