1. In(6n) n4 - 2 3. n(In(n))2 %3D2 4. 1 5. nyn sin (4n) 6. n2 n=1 2.

Q: 1 3. JxIn(2x+1)dx 3 а. 8. 1 - In (3) 8. (e)u d. (In(3) - 1) с. - In 4 е. in

A:

Q: - 1 Find ²¹ dz x² +C

A: As we know that, The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And use…

Q: x2/3 If y = ¤l/3 + 2 dy then le=-8 %3D da

A:

Q: -3 (k) [ 6* dx

A: SINGLE REQUEST SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN, WE WILL BE ANSWERING ONLY THE FIRST…

Q: (2 2" (2"-1)a - 3 If A = then A" = Éro* +1) = -m(n + 1)(a° +n+2) 4 5 Ertr-1)=,n(n² - 1(3n + 2) 12…

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

Q: C-1 Q3. L-¹ In (a) (b) (c) (d) s² +4 S 2 sin 2t - 2 t cost - 1 +4} t 2 cos 2t - 2 t 2 - 2 cos 2t t

A: Inverse Laplace transform