Evaluate the following indefinite integrals: J+c. 1 dx 3D (x + 3)(x + 5)

Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

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Q: dx - = In[F(x)]+C•What is f(/3) For if C = 0? (x+x³) (x Tan-!x+ 1)

A: A detailed solution is given below

Q: 5. Find the area bounded by the curves y = x2 – 2x and y = 5x. Give exact answer.

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A: Given problem:-

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Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

A: I am attaching image so that you understand each and every step.

Q: 2. Evaluate lim -4x+1 X-1 x-1

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Q: Find the area bounded by the given curves and lines. 1 (2-2)3 x = -2 x = 0

A: This question is based on application of integration.

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: 3 8. f (t) = (10t)z %3D 9. f(t) = tg'(t)

A: Given  f(t)=10t32 To find Laplace transform: 

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Q: 4. Find the area under the curve y = Vx +6 from x = -6 to x = 3. Give exact answer.

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Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd . 

Q: 2- sec?x)emsec³x sec (3A – x) eln (x/c) What should be the value of A for dx to be integrable using ...

A: To solve the given indefinite integral. 

Q: 5. y = XArctanx - In Vi+x

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Q: True or False: If dx =In|x-3|+B In|x+2|+C %3D (x-3)(x+2) then B = 5° Select one: O True O False

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Q: 7. y = tan e3x + etan3x

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Q: Which of the following is an improper integral? dx A 2x+ 8 B In(x++1) dr -1 In3e CO.X хе dx -2 D d. ...

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Q: sec. sec A x2 + 1 x2 +1 2x Option 1 Option 2 x² – 1 x2 – 1 - 2x Option 3 Option 4

A: Given secA+tanA=x To find secA:

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Q: An expression that can be obtained from 4 sin 20 cos 20 + 13 sin 20 cos 20 cos 20

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A: Given that,

Q: asap

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Q: Question 10 What is the integrable form of dx? A du B du du D du

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Q: 6) Solve the following inequalities. a) x³ – 7x – 6 < 0 b) –2x³ + 8x² – 8x < 0 - -

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A: As per bartleby guidelines we only give first question answers. 

Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: Consider the points A(3, –3,5), B(5, –5, 2), C'(-1,–4, 2), and D(4, 1, –8). (a) Find the volume of t...

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Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: To check the convergence of the given series.

Q: Question 8 d'y =6-9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation o...

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Q: The integral dx may be written as me" +px+qe™+ C, where m, r ,sinx equal to zero. Evaluate m +n+p+q+...

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Q: The antiderivative of ƒ (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the proper...

A: Given Problem is solved in attachment.

Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.  

Q: 2. Evaluate lim x-4x+1 X-1 x-1

A: I am attaching image so that you understand each and every step.