1 -x dx = u v- Sx sec xtan Svau Using Integration By Parts, Find UV- X sec ec- x dx 1 1. x sec 1. sec- O 1 x tan tan, x dx 2x sec X- dx

Q: Scots x csc?x dx esc" x - csc", -7csc x + 5csc esc" x +csc" x -csc? x + C x csc³x 1 X + c³ x + C 1 1…

A: Solve by integration method

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A: Here we have to apply trigonometric substitution.

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A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: 3x + cos r 2. Use Squeeze Theorem to evaluate lim I -00 VI+ a? – 5x

A: Solved below

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Q: 2 - V2r + 10 a. lim 1-3 r2 +x – 6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Using Integration By Parts, Vx In 2x dx = u v - v du Find u v- ſv du O 3 xVX In 2x-|응Vx dx 2 xVx In…

A: We can solve this as follows:

Q: [2x+11 3 1 dx . evaluate Consider 3 1 dx x+3 dx = x2 + x- 6 x- 2 | x+3 X- 2 x+3 x- 2 In +C x+3 In…

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Q: Integration by Parts Example 4. Evaluate In x dv,

A: The given integral is: I=∫lnxdx   As we know that; ddxlnx=1x

Q: 3. CHOOSE ONE. Assume that r0. 5x (a) Transform the Cartesian equation = 5x – 5xy into a polar…

A: A)5x2x2+2y2=5x-5xy12x2+2y2=1-yx=r cosθ, y=r sinθx2+y2=r212r2=1-1(rsinθ)r sinθ=1-12r22r2-1=2r3…

Q: 2) Calculate lim ( In(3x + 1) – In(2x + 1)). -

A: Since you have asked multiple questions, we will solve the first question i.e., Question-(2) for…

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Q: x² + x +2 Evaluate x2 - 1 x+1 +C (x- 1)2 (x- 1)2 In- + C x+1 x+1 X+ In- +C (x-1)2 (x- 1)2 x + In- X…

A: Given problem:-

Q: Express the limit as a definite integral on the given interval. 5 V 3x; + (x;) Ax, [2, 3] * lim n →…

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Q: Using Integration By Parts, 2x² e3" dx = u v - |2x2 e3" dx = u v-, -Svau Find u v- Sv du · x3 e 3 dx…

A: Integral

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A: Here, the given DE is: (3x-2y)+(y-2x)y'=0...(1) And, the initial condition is not given. So, the…

Q: Performance Task Determine the antiderivatives of the following 1. sec24x dx 2. [(tanx – 1)²dx dx 3.…

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A: We know that integration power rule is  Integration of xn is xn+1/n+1.   Here i attached the…

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Q: 2x4 +3x2 - 1 Rewrite -dx as integral of sum of partial fractions. (x3 – 4x2 + 5x)?

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Q: 3r + cos a 2. Use Squeeze Theorem to evaluate lim 1-00 V1+ x² – 5x

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Q: A/Certain values of x and log1o x are (300, 2.4771), (304, 2.4829), (305, 2.4843) and (307, 2.4871),…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Consider the following. (If an answer does not exist, enter DNE.) (x) = x6e=x (a) Find the…

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Q: 2n+1 5. Σ 'n°(n+1)² n=1

A: let  bn=1n3∑n=1∞1n3    is convergent   by p series  Recall ∑n=1∞1nP    is convergent  iff p>1

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A: We can solve as follows

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Q: Find an antiderivative of the function. (a) h(q) = sin(q) H(g) = (b) f(x) = 3eX F(x) =

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Q: 7 -4 Consider the surface x'z* + sin(y zª) + 9 = 0. Use implicit differentiation to find the…

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