6. dyda ydyda 2R Sys of 37 15D to

Q: Use limits to evaluate the integral. | 7x* dr dx 14 2 O 28 112

A:

Q: A -3 0 1 -3

A:

Q: Vx2 – 4 dr lx x3

A:

Q: Evaluate the integrals of the following: (Show clear and clean solutions) T sec2ysin4ydy

A: We need to solve the integration.

Q: Evaluate the integral. dx 2x – 1

A: Let 2x - 1= u hence, 2dx = du Or, dx = du/2 when x = 2; u = 2 x 2 - 1 = 3 when x = 5 ; u = 2 x 5 - 1…

Q: 1 dx x² Vx2 – 9 3.

A: Given ∫3∞1x2x2-9 dx We have evaluate the integral. Formul;a will use1.∫sinxdx=cosx2. sec2x-1=tan2x

Q: Use the fact that 1 +C 2e2 to either evaluate the improper integral -dr, or show that it diverges.

A:

Q: Evaluate the integral.

A: Let the given intergral be y -y = ∫01r34+r2dry = ∫01r24+r2 r drLet,x = r2Diffrentiating with respect…

Q: dx (§5.7, Q28) Evaluate the indefinite integral: (x – 9)5"

A: step 2 complete solution

Q: Determine the integral: x²cosxdx A x²sinx + 2xcosx-2sinx + C B x²sinx-2xcosx-2sinx + C C…

A: integration

Q: arg((1+ i)(1 – i) + (-1,–1)) 7n A. + 2kn 4 " + 2kn В. 4 5n С. + 2kn 4 D. None of above

A: firstly , we will simplify the terms inside the bracket and, then we will use formula for argument…

Q: Evaluate the integral 9x² √x² + y² dzdy dx

A: Given problem:-

Q: . Evaluate the following integrals. 131 12-22--y // |v(x + 2)dzdydzr dzdydz -12 0

A: