Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u 9 given dx? x² +6x-7 A) B (D) - u= x+3 U= x +9 u= x² +6x+9 u= x² +6x

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A: Here is the solution of the given problem.  By using derives under Integral.

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A: This question can be solved by substituting z=tanx2

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A: C option is false.

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Q: 2x* dx

A: Here is the solution

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A: ∫0∞e-xdxSubstitute u=-x→dudx=-1→du=-dx=∫-e-x

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A: here we have to check from left hand side of x = 2  and right hand side of x = 2 it means lim…

Q: dx using miscellaneous substitution will yield to secx + 1 Transforming Ⓒ S A 1-z² B 1+z² © √ 1 +…

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Q: 4. f(x) √√3x52x + 7x² 18x-25 5. f(x) = (33x5-22)( 5x+13x4- 32x+51)

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Q: Solve the integral: A 5n/1+x²|+C 5 (B) 6in 5+x' 6In|5+ +C 음 m/1+x²|+c C ³√|+C 1+x √√√√x+x² dx D

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Q: Evaluate the double integral: (A) 40 B 30 C) 60 D) 80 ²(3x² +9y²) dxdy

A: The integration are.  .

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: On solving this we will get  Option (C) is correct

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A: To find the value of given double integral.

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A: We can solve this as follows:

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A: answer is in next step.

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Q: Given 1 [₁f(x) dx = 0 and -1 1 S²F(x f(x) dx = 11 6 I evaluate 1 √²3f 3f(x) dx - .0 -1 2f(x) dx.

A: Explained below

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Q: 3. Use two rectangles of equal width to estimate the area between the graph of f(x) = x + cos(x) and…

A: Solved below.

Q: Question 4 9 Let the integral be 'solvable' using trigonometric substitution. What is the correct…

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Q: We can apply General Power Formula of Integration on which of the following integrals? A Seschu…

A: We have to choose correct option

Q: tanx If f(x) = (Α) B C D S 0 sec ³x 1+etanx In (secx) √ 1+tan²x tanx 1+e sec²x 1+ etanx 1+1² -dt,…

A: Here, given that: f(x)=∫0tan x1+t21+etdt...(1)

Q: 2+3x-7) X-2 dx Evaluate the integral: Se A²+ +In|3x-6|+C Ⓡ 1/²/₁ 2²+5x+! In/x-21 +C B 3 x²+5x+In…

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A: To find the area bounded by curves

Q: Solve

A: We have to calculate the given indefinite integral

Q: Evaluate the integral: Se³+ cosh2x33+ cosh2xsinh2x dx 3+ (3e)3 + cosh2x A + C 2+2ln3 (3e)3 + sinh2x…

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Q: Solve the integral

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Q: The improper integral A e B 0 C D) 1 + ∞ [** 0 e-x dx is

A: The given improper integral is: I=∫0+∞e-xdx

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