h) S dx 1 g) S", cost t dt -π/4 x²Vx2

Q: +4 -dy y 2.

A: As our guidelines we are supposed to answer only one question

Q: raluate the following indefinite integral. Ssin x sin2.x dx

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i 14tj – 3vtk) dt +

A:

Q: Use the Method of Substitution to find the indefinite integrals: a) / te“dt (q

A:

Q: Solve the following integral using integration by parts: xe tax dx

A:

Q: Bx x+2 e t e de

A: Given ∫e3x+e-x2ex+2dx

Q: Approximate the following integrals using Gaussian quadrature with n = 3 and compare your answers to…

A: Given ∫01x2e-xdx

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(0) – 1

A:

Q: Find the following indefinite integrals. x* – 5x dx. 2. x3

A: Answer is given below.

Q: 1 h) f: dx x²Vx²+9

A:

Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

A: Solution in done in step 2

Q: e) ſ Vtan x · sec4x dx f) S cos Vx dx

A:

Q: dx V1– 18x?

A: To evaluate the given integral.

Q: Evaluate the following integrals using the different methods of integration 5x + 6 dx (х — 2)(3х +…

A: Given that a integration and we solve it by using general formulas of integration. F(x)=…

Q: Evaluate the following indefinite integrals using integration by trigonometric substitution.…

A:

Q: x3 2. S dx x6+15x++75x²+125

A:

Q: Evaluate the following indefinite integrals: (Don't forget the constant of integration: use C or K)…

A:

Q: 1. Se-5t t dt

A: The given indefinite integral is ∫e-5tt dt. We have to compute the value of integration using…

Q: Find the indefinite integral. (Use C for the constant of integration.) 5t dt 1 – 25t4

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(e) -

A: The solution of given problem is follows as

Q: Determine the following indefinite integral. 1 dx

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Q: Find the integral for the following functions: - ſ e3x . sinh(x) dx

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Q: ydy V16–9y* 4

A:

Q: Find the indefinite integral by using substitution followed by integration by parts . ∫e√2x dx

A: Given: ∫e2xdx Let,  2x=w2x=w So, 212xdx=dw12xdx=dw1wdx=dwdx=wdw

Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: Find the indefinite integral. (Use c for the constant of integration.) |(4t³i + 8tj – 4Vtk) dt

A:

Q: Use a table of integrals to find the indefinite integral ∫ 1/ t[1 + (ln t)2] dt

A: Rewrite the given integral as shown below: ∫1t1+lnt2dt=∫1t1+ln2tdt

Q: Q3 Evaluate the following integrals X. cosh? () dx -In2 1 - | 2 - cosh(lnx) dx

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

A: To evaluate

Q: Evaluate the following indefinite integrals using the substitution method b) ƒ Sin (:) (1 – cos…

A:

Q: sin y 9. 1+sin y dy

A: To solve the indefinite integration.

Q: x19 In(x)dx 1

A:

Q: Use a change of variables to evaluate the following indefinite integral. (Vx+8)° dx 2/x

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Q: 3t dt 1 - 9t4

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Q: dx 17. 2 18+4x-4r² |

A: We will solve the problem.

Q: 2+(ln x)3 5. J x(In x)2+In x) ах

A:

Q: -c) S dx d) Sdx 4+x2 4+x2

A: To evaluate (c)∫dx4+x2(d)∫x4+x2dx

Q: For which of the following integrals should substitution be used, instead of Integration by Parts?…

A: Solution :option D substituition be…

Q: Find the indefinite integral. (Use c for the constant of integration.) (4t³i + 10tj – 3Vtk) dt

A:

Q: Determine the following indefinite integral.

A:

Q: Calculate the value of the definite integral. 5 4 dx

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Q: Use the Special Integration Formulas to find the indefinite integral.

A:

Q: Solve the following integrals: i. S(e**sin(2x))dx using integration by parts or tabular meth

A:

Q: |cos' y sin' ydy cos³ sin’ ydy

A: Strip out one cosine and write everything else in terms of the sine, using the formula…

Q: Find the answer to the following indefinite integral:

A: Given indefinite integral ∫1cos(x)dx    ⇒∫1cos(x)dxSimplify using trigonometric…

Q: Use a change of variables or the table to evaluate the following indefinite integral. 4x e dx e 4x…

A: Here we have to find the required indefinite integral using change of variable method.

Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti +j+ 9k) dt

A: Given integral, ∫2ti+j+9kdt

Q: 4 /1– 4x² dx 4х

A: ∫01/41-4x2dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(In(5t)) dt t

A: Evaluate the integral: I=∫cosln5ttdt