If g (x): A d dx [e' — In(2t+1)]dt, find g''(x) - -2 4 (2x + 1)² 4 B (2x+1)² Ⓒe*-In(2x+1) 2 D (2x + 1)² et +

Q: Evaluate

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Q: dx S using miscellaneous substitution will yield to secx+1 z²+z 1-z² 1+z² 1-z² -z² 1+z² Transforming…

A: solution

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A: You must have idea of integration to solve it.

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A: What is the integrand

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Question 6 Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)=x+1, A unit² Ⓡ®…

A: Just plot the graph and see which is above and below to each other and find intersection point

Q: tanx If f (x) = A (В) (ⒸC) D - St 0 sec 3x 1+ e tanx In (secx) √ 1+tan ²x 1+ e tanx sec²x 1+elanx…

A: Finding the derivative of the integral

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Q: Question 5 -S_(x + 1) dx A B (x + 2) (x - 1)² = √ [1+2+ = ²1+ x-1 If B -ia 9 9 W|N 1 9 3 1 9 3 دا |…

A: find out the value of A,B and C

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Q: Question 19 9 Let the integral be 'solvable' using trigonometric substitution. What is the correct…

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Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx 3+ (3e)3 + cosh2x A + C 2+2ln3 (3e)3 + sinh2x…

A: The integration are

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A: ∫0+∞e-x dx

Q: X √√√3/2 x² Solve the integral: A 6√√x +C 3√√x² (B - + C 6 Ⓒ3√√√x² +C с √x (D 3 dx

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Q: If g(x) = -S^*[e²− ln(2t+1)]dt, find g''(x) . dx 2 (A (2x + 1)2 Be* -In(2x+1) 4 (C) Ce¹+ (2x + 1)² 4…

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

Q: Evaluate the double integral: A B NIG 5 3 m|p 99 In +10 2ydydx

A: To solve the following double integral

Q: S 1 Solve the integral: √√√X = n/1+x²³²|+c A C {/in/1+x²³ | +c B © 6n/5+x²³²|+c C in/1+x³| +c D X +…

A:

Q: + 1) dx A B C (x + 2) (x - 1)² = √ [++^2 + == 1 + (0-12 dc. ]dx. dx, the values of A & C…

A:

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A:

Q: y = Arctan ( 2+x 1-2x

A: The derivative are

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A: ∫sin3θcos6θdθ

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A:

Q: The improper integral (A) e B) 0 с 00 D 1 8 0 edx

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

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A:

Q: Given A B C D f(x) dx = 0 and 11 6 0 ¹² f(x) dx = 11 6 I 11 5 55 6 evaluate S²3f(x) dx - ₁2f(x)dx.…

A: we have to find the integral

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A:

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A: Here is the solution of the given problem. We solve this by using shell method

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A: We have to find the value of given integral

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A:

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A: To solve this problem we use cylindrical shell.. method.

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Q: 2x ind the derivative of: 2e cos(8x). [Hint: use product rule and chain rule!] se e^x for e*. ow,…

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Q: -X Find the area bounded by : f(x)=e*, g(x) = ex and x=3.

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Q: dx (x+1) log(x+ ) In[log(x+1)] + og² (x+1) + C

A: We have to choose the correct option from the given options

Q: 25

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Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

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Q: 5. (D²+4)y=4 cot 2x

A: We use variation of parameters method to solve the given differential equation.