k. [₂ x cos³ 2x sin 2x dx

Q: 7. (x² + 3)² dx -2

A:

Q: 3. (In x) –dx dx k) xVln x evi xp-

A: We know that integration of xn   =  xn+1/n+1. And we know that derivatives of d(lnx)/dx =   1/x.…

Q: 24x2 dx V25-x2 30 dx x2Vx² +81

A: By using integration by subsitution method

Q: Evaluate the integrals

A:

Q: 2x 35. x2 + 6x + 13 -бх + 13

A:

Q: Evaluate the following integral: JIS [xlnytan z dV if S = {(x, y, z) € R³ : − 1 ≤ x ≤ 0, e ≤ y ≤ 2e,…

A:

Q: -x Jez е sin x dx

A:

Q: q. r. √y² - 25 -dy, y > 5 y³ dx x²√√x²-1 2 ,x > 1

A: Solve both integral as following:-

Q: Evaluate the integrals

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x²dx 8. S a4-x4

A:

Q: Evaluate the integrals

A: ∫-π302sec3xdxTake the constant out:…

Q: re3 dx De xyIn x

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

Q: b 2 2 чих nx dx их

A:

Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for integration.

Q: 12y dy 4+9y° sec (t)+3 tan (t)+sin |dt 7

A: c) Given integral is ∫12y24+9y6dy. The above integral can be written as ∫12y24+9y6dy=12∫y24+9y6dy.…