2 show that sinz-- i\n(izz√1-2²)

Q: Evaluate √x/2 6sinx(cosx+1) do

A:

Q: ® y"+zy'+3y=27x

A: Question 1 is solved. Solving more questions are against the policy of bartalby.  Find roots using…

Q: What is the simplified equivalent of 2- 3-z 3-2z エ-5ェ+5 3-7 -5z+7 3-7 D

A:

Q: 4 6 Find 5 a ) da + C

A: Here we have to find,  I=∫-x3-4x+6x5-5xdx

Q: 1+tan x

A: We have to find the integral.

Q: 8- Evaluate a) ſe² + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) J 73-9x²+8 esc²) dx Csc2 - х3-9х2+8

A: We have to use proper substitutions.

Q: L4 for x2+1 고 on [-2,2]

A:

Q: Evaluate: /1-x*dx 3 A +C (B x4) 2 +C 3 3 D--(1-x*) 2 +C E None

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Q: Evaluate: L-¹{- (A) B Ⓒe²t (cosh7t + (D) (s+ 2)²-49 e-2tcosh7t 4 e-2t(cosh7t – sinh 7t) 4 sinh 7t)…

A: The objective is to evaluate L-1s-2(s+2)2-49 Inverse Laplace transform using table values:…

Q: 2x³+1 Evaluate / 7+x-6 dx

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Q: tion 10 37 = 1 8z + 9 or z:

A:

Q: Prove that a b π √√(x − a) (b − x)dx : = (b-a)² 8

A: To prove that,  ∫abx-ab-x dx=π8b-a2

Q: a 36/ 25

A: Here we have,  N·N·Ncba=N2536

Q: Evaluate [²√₁-Pa dx °ex√1_(ex)2 ofile कस 0 √i-(ex)

A:

Q: хt — х +6 dx х3 + Зх

A: We shall use polynomial long division method to simplify our integrand.

Q: 2x³-3x²-6x47 вхая

A:

Q: rel= = 0A 15, x² = 4(4x² - 1) If, 2 Prove that, x = √√5 +√√3

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: 5. c) [(4x³ + -)dx +

A:

Q: 6572sinx 10

A:

Q: Determine whether the equality is true or false 2 4 4 √₁² √ ^ (x² + y²³ dxdy = √(√² √2²day) +…

A:

Q: b) Rationalize the numerator of 1 1 √3x 3(x+h) h Simplify your answer to the form as h 0 J where A "…

A:

Q: 15 S(+ 15e15x – 15x-1 + 15n) dx. x-14

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Q: Shaw that ys²-3S+5 (St1)XS-25+2). 3-1207820st+9 E sit

A: Some of the properties of the inverse Laplace is given by  L-1a f(s)+bg(s)=aL-1f(s)+bL-1g(s)…

Q: The square of the sum of the values of x for which it is verified that \ frac {2 ^ x + 2 ^ {3-x}…

A: i have provided solution in step2.

Q: Evaluate J sec3x cosecx dx

A:

Q: 4m'n alify: 15m12n 24m6ns 16

A: