Find the indefinite integral. (Use C for the constant of integration.) sin x dx 6 + cos? x

Q: Find the indefinite integral using the substitution x = 4 sin(8). (Use C for the constant of…

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Q: Use the basic integration rules to find or evaluate the integral. (Use C for the constant of…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 x/ 25 - (In x)? In(n1) 5…

A: The given integral,∫5x25-ln x2dx

Q: 2. Find the following indefinite integrals. Use Substitution and/or Integration by Parts when needed…

A: a) Evaluate  ∫sinθcos4θdθ         ...(1) Simplification: Put cosθ=t⇒-sinθdθ=dt in (1)…

Q: Find the following definite integrals using an appropriate substitution. (a) /2 cos a sin(sin x) dx.…

A: a) The given integral is ∫0π2cos(x)sin(sinx)dx. Evaluate the integral as follows. Apply u…

Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :-…

A: Integration means addition it is used for adding continuous function which can't be added by simple…

Q: Solve the following integral using the integration by parts method. (i) |x² sin mx dx (ii) e* cos 3x…

A: We can find the integration using by parts method

Q: Find the indefinite integral. (Use c for the constant of integration.) [(4t³i (4t³i+ 14tj -7√tk) dt

A: The given integral is;  (4t3i +14tj -7(sqrt(t))k).

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

A: ∫0π2x1+sinx2dx Consider, ∫x1+sinx2dx Now put, x2=t⇒2x=dtdx⇒x dx=dt2 Therefore,…

Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: 1 S. dx 3 (2x 012

A: Consider I=∫1( e2x-9)32 dx

Q: (- + =) dx when evaluated is equal to 3Vx, 11 Find the value of a. The definite integral 12

A: Given problem:- Th value is given as  ∫49-xa+13xdx=-1112 The integration formula is expressed as…

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see…

A: To evaluate the integral: ∫1sin(πx)cos(πx)dx Solution: Given,…

Q: Find the value of the following definite integrals. Show your solution. 1. L* + 4) dx 2. f(cos x +…

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Q: Among the given choices, which of the following definite integrals have the largest value? A) x dx B…

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Q: Evaluate the following integral: (Note that the constant of integration has been added for you.) | =…

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Q: Evaluate the following trigonometric integrals L cos³(x}sin³(x)dx a) ( sin (x) b) -dp- Av cos?(x)

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Q: In the following equation/s, find the indefinite integral :-   see the equation attached here

A: We have to calculate the given integral   the given integral is

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) sin…

A: see below the calculation

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

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Q: Find the indefinite integral using the substitution x = 2 sin(?). (Use C for the constant of…

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Q: dx/(cos(x)-1) what is the answer to this integral? Use C for constant.

A: Use simple integration formula.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: The given integral is,

Q: In the given equation as follows , use a table of integrals to evaluate the definite integral :-…

A: Given an equation ∫sinθ1+cos2θdθ To integrate using the table of integrals. Let u=cosθ and…

Q: valuate the integral. 10 sin?(x) cos3(x) dx CoS

A: Perform integration

Q: Use integration by parts to evaluate the integral: ∫sin(−12r)/e^2r

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Q: Evaluate the integral. (Use C for the constant of integration.) e8θ sin(9θ) dθ

A: Given:     ∫e8θ sin(9θ) dθ

Q: |/ (cos(x) + sin(x))² dx

A: *Used the (a+b)2= a2 + 2ab + b2 formula.

Q: Solve the following indefinite integrals. (a) cos x -dx sin? x (b) sin- cos cos,dx (c) sin) dx cos

A: (a) To find: The indefinite integral of . Calculation: Substitute in . Substitute in above…

Q: b) S x² Sin(x") dx 3

A: Given, ∫x3sinx4dx  We have to determine this integral .

Q: Evaluate the definite integral?

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Q: Evaluate the given integrals. 2. S sin?x sin 2x dx

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Q: Evaluate the following integrations: 5. S sin?x cosxdx

A: See the details solution in below

Q: (1) sin?x dx

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Q: Given 4 cos(x²) dx 2 How many Trapezoids will you need to estimate the definite integral to an…

A: Given the integral I=∫24cosx2dx. (a) We need an accuracy of 0.001 when the Trapezoidal rule. The…

Q: dx x* +3

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Q: Evaluate the indefinite integral. 6e sin(e®=) dx U = du = dx Substitution gives du Integration…

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Q: Find the following integrals: sin x (i) [sin' x cos? x dx dx sin (x+ a) (ii)

A: In this question, we need to find the following integrals.

Q: 17. S* sin? 4 y cos² 2 y dy

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Q: Evaluate the definite integral. m/2 5 cos(x) sin(sin(x)) dx

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

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Q: Evaluate the integral. (Use C for the constant of integration.) e-0 cos 80 d0

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Q: Among the given choices, which of the following definite integrals have the largest value? A x dx x²…

A: A) The definite integral is  ∫12 x dx

Q: 70 (sinr cos r) dx T/2 sin a) dx

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Q: Evaluate the definite integral. "Tt/2 " d(sin x)? dx = (sin x)2 dx =

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Q: -x+cos x Using appropriate substitution, the integral S dx is an e-x+sin x equal to:

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of…

A: To find the indefinite integral ∫116-x232dx

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the integral. (Use C for the constant of integration.) 15x cos?(x) dx

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