(b) Evaluate the following integrals: (i) (sinh 2x) /1+ cosh?(x)dx, (ii)

Q: Find the indefinite integral. (Use C for the constant of integration.) dx x(In(x²))7

A: Let us assume that:

Q: Find the indefinite integral. (Use C for the constant of integration.) -0.2x е dx

A: We have to find indefinite integration: ∫e-0.2xdx In this case we use substitution method, so let…

Q: 1 2 -5) dx x3

A:

Q: Evaluate the indefinite integral. (use C for the constant of integration.) x8 dx = (x° + 8)3 ... ...…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: The objective is to evaluate∫tan2xsec5xdx. The formula for integration is ∫xndx=xn+1n+1+c

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 27 + cos (x)

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | x³ sin(x*) dx

A: Let’s put u = x4 and then solve the integration:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (7+5x)/(1+x2)  dx

A: Integrand, I = (7 + 5x) / (1 + x2) This can be split into two terms:  I = 7/(1 + x2) + 5x/(1 + x2)

Q: Evaluate the indefinite integral. (Use C for the constant of integration. | cos(7/x13) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) -cos X dx sin5 x

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Q: 2 sinh x 2. Calculate the integral, dx. 5+6 cosh x

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Q: Find the indefinite integral. (Use C for the constant of integration.) V3 dx

A: Objective of this question is to solve the indefinite integral  I=∫3dx Since x0=1, the integral can…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | Vx19 sin(4 + x21/2) dx…

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new…

Q: Find the general indefinite integral. (Use C for the constant of integration.) x3 + 4 x2 ) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 3 sin x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 dx x/ 25 - (In x)2

A: Use substitution method

Q: Find the general indefinite integral. (Use C for the constant of integration.) | (x1.3 + 9x3.5) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (sin(x) – 4 cos(x)) dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 4x - 9/x dx

A: To find the indefinite integral: ∫4x3-9xxdx Solution: Evaluating the given integral.…

Q: Evaluate the indefinite integral. (use C for the constant of integration.) x3 – 3x2 + 4x – 8 dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 7 sin x) dx

A: Given the integrationI=∫(4cosx+7sinx)dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(T/xi) x12 dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2 1 2…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) ーx)3(2 - x) dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (4). 1 sin dx

A: Indefinite integral

Q: Find the general indefinite integral. (Use C for the constant of integration.) (Sx² + 8 +) dx 4 x2 +…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) COS X dx (sin x)20

A: Given, ∫cosxsinx20dx We have to evaluate the indefinite integral.

Q: Find the indefinite integral. (Use C for the constant of integration. sin 4x sin 3x dx sin x sin 7x…

A: Solution is given in step 2

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x/x45) dx x46

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 1 1) dx + 9(x2 + 1)

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin20(x) dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.3 + 11x4.5) dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx (6x – 5)2

A:

Q: 2.2 (e-x* + 1) dx 0.5

A: Topic-integration

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 5 sin x) dx

A:

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) xp -8 cos +C x

A: Here we have to find the indefinite integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) (8 cos x + 7 sin x) dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 1 + x20

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.2 + 9x3.5) dx

A: It is indefinite integration problem.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x)/sin^20(x)    dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 4x2 + 5 + dx 2 X +…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) -5 dx (x² + 5)3/2

A: By using trigonometric substitution and Pythagoras theorem we calculate the given integral. See the…

Q: Find the general indefinite integral. (Use C for the constant of integration.) 8x + 4 + dx x2 + 1

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) e2x dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) sin 2x 9. dx sin x

A: Explanation of the answer is as follows

Q: Find the indefinite integral. (Use C for the constant of integration.) 2e 1/x x2

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos 2x dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 15 COS x sin x dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) / (In x)8 dx 8 ln (x) + C

A: