Please use definite integral in solving for the area. a. y = Vĩ and y = x3

Q: 14.1 dx V16-x dx 15. . Vx -1

A:

Q: Solve the following integral step by step senx -dx ex

A:

Q: 3. Evaluate the following integrals by interpreting each in terms of areas. Check your results with…

A: The integral ∫-224-x2dx. We have to evaluate this integral.

Q: e dx 6+ e2

A:

Q: evaluate using trigonometric substitution. Refer to the table of trigonometric integrals as…

A: Given integral is We will use the following substitution as follows.

Q: calculate 1.100 1/2 dz, and 1100 1/2 dz x² x²

A: Solution- We know n=-2

Q: Solve the integral. cos x dx J (1+ sin² x) arctan (sin x) 10.

A: To evaluate:                      ∫cos x(1+sin2 x)arctan(sin x)dx    ... (1)

Q: Solve.  ln(sqaure root of z/xy)

A: We are given logarithm expression as

Q: 8 3 dx x +1 +2

A: