13)Evaluate 13 Evaluate the integral s 5x--Xt27 dx x (x²+G) -1 3 tan 3+C b)(-ト2フx)、1mlxCx?ss)1c Sx3 In lxCx?ょs) 3. +27X c) In olin13x (x²+G)+9tan-?ax7C 3tan 3 In x)+ 2x In lx?+91-3 tam -ス 3/C

Q: sing the relation z=x+iy = rcosθ + irsinθ=re^iθ . Derive z^n = r^n(cosθ + isinθ)^n = r^n(cosnθ +…

A: The relation .The aim is to derive the expression .

Q: Bolve * LOB3X + 3inxt é Ars: 1 = De B o83X -3_8in2 18 3x m , 18

A:

Q: solve differtial eauatiun 6x dy +(61ny+5) ¿x =o

A:

Q: Please help me prove this: Suppose x, y ∈ R. Prove that if 3x^3 + 21y = 3y^3+ 21x, then x = y or…

A:

Q: Why the minimal polynomial x^2 - (sqrt(2)+sqrt(-2)) splits into linear factors over K?

A: Assume K is a field that includes the square roots of both 2 and -2. The formula for the element  α=…

Q: Evaluate ∫ ∫σ x^2 + y^2dS, where σ is the portion of z =√3(x2 + y^2) for 0 ≤ z ≤ 3. Exact answer is…

A:

Q: 3. Prove the Distributive Laws: PV (q^r) = (pVq) ^ (pVr) and p^(qVr) = (p^q) v (p^r).

A:

Q: 2. Use Theorem 4 to evaluate (3x +2x2) dx

A: Given ∫01 (3x+2x2)We know that ∫xn=xn+1n+1+C

Q: ~3 Evaluate 6x* + 2) dx. -3

A: