(cot? 0 + csc² 0 sin 20) de

Q: Evaluate the integral / (4e* + 7 cos a) dæ. Answer

A: Given that: ∫05(4ex+7cosx)dx

Q: Evaluate the integral fr 2xy dA, where R is the triangle 3x + y 0, y > 0. Sr 2xy dA =

A: ∫R f(x,y) dA = ∫x1x2∫y1y2 f(x,y) dy dx or ∫y1y2∫x1x2 f(x,y) dx dy.

Q: sec® tan³Od0 5ød® coso

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Q: Evaluate the integral using FTC I.

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Q: 36 dz Evaluate the integral: (A) Which trig substitution is correct for this integral? Or = 6 sec(0)…

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Q: cosl Vx dx

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Q: Evaluate the following integrals. (csc 0)(1+ sin? 0 + sin 0 cot? 0) de a.

A: This question is based on indefinite integral.

Q: Evaluate the integral. |/ 5 sin-a da =| +C NOTE: Enter the exact answer in expanded form.

A:

Q: Evaluate the integral below by parts: 50 sin(a + b) de where a = 1.4 and b = 2.5. Give your answer…

A: To evaluate the integral below by parts: ∫0π2 θ sinaθ+b dθwhere a=1.4 and b=2.5To give the answer to…

Q: Evaluate the integral by any method. NÓTE: Enter the exact answer. sec? (40) dө

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Q: Evaluate the integral. / 5 sin-z da + C NOTE: Enter the exact answer in expanded form.

A: Given: Let I=∫5 sin-1 x dx To Find:  To evaluate the given integral.

Q: Evaluate the integral ſ Srxy dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

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Q: tan Vy dy

A: Integration by substitution: - Let F and g be differentiable functions, with g's range corresponding…

Q: 4. S cot?x csc x dx

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…

Q: Consider the integral cot(0) · In(4 sin(0)) d0: fo This can be transformed into a basic integral by…

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Q: Find the integral by trigonometric substitution: ∫√1-7w^2 dw

A: The given integral is ∫ 1-7w2 dw. Substitute w=17sinx   and   dw=17cosx dx in the above integral and…

Q: Find the area inside the limacon = 7+ 6 sin 0. OA) 134T - 84 B) 67T + 84 OC) 67 T OD) 134T

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Q: Sa 4 tan e sec? Ode tan0-2tan 0–15

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Q: 4cos*(m) – 4cos²(m) + 1 sin²(2m) dm

A: This question is purely based on integration in which we have to simplify, firstly trigonometric…

Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 044…

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Q: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use…

Q: Integrate, if the integral exists Sa° (r° – 7)*dz

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Q: V9x2 + 25 1. х2

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Q: To evaluate the integral dz, V 2-3 using trigonometric substitution, which substitution should you…

A: As the question only demanded the trigonometric substitution so I have only solved just to reach the…

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. sin (80) d0…

A: The given integration,θ    ∫sin38θ dθ

Q: Evaluate the integral: -dz (A) Which trig substitution is correct for this integral? Oz= 17 sin(0) z…

A: Given that: ∫17x2-9x4dx

Q: The definite integral /. '(tan2(x) + sec2(x) ]dx when evaluated is equal to AV3 + Br, where A and B…

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Q: Find or evaluate the integral

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Q: Evaluate the integral. 1/2 7 cos?(e) de

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Q: x² +y? = 4, x² + y? = 9

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Q: dt J tan t/4 – sin? t

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Q: π.χ. Evaluate the integral 8x sin y dy dx. 00 The value is. (Type an exact answer, using as needed.)

A: The given integral,    ∫0π∫0x8x siny dy dx

Q: 9x dx de (16 + x²) ² (Type an exact answer.)

A:

Q: dx Evaluate the integral / by completing the square and using trigonometric substitution x² + 4x +…

A: Solve the following integral

Q: Evaluate the integral using FTC I.

A: FTC I stands for the first fundamental theorem of calculus. The same is produced below:

Q: For the integral | cot*x csc*x dx, jf we let 4=cot x, what is the re-written form of the integral? A…

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Q: 4 (cot2 0 + csc² 0 sin 20) d0 SC 2

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Q: 3x За? +8х —12 dx -8x- x3+7x²+12x

A:

Q: Evaluate following integrals.  ∫sin2x*sin2x dx ∫pi/6pi/2 cot2x dx

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Q: Evaluate the integral sec 0 tan e de. Answer:

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Q: The value of the integral | (30 tan? – 30 sec?a)dx = 2 2 -4 O 120 - 120 - O 4

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Q: The definite integral/. [cot?(x) + csc²(x)]dr when evaluated is equal to AV3 +Ba where A, B are…

A: As we know that; The property of the definite integral. ∫abfxdx=-∫bafxdx ; a<b From the given…

Q: What is the integral of cos xdx from pi/3 to pi/2? A 0.134 В 0.500 C) 0.293 D) 0.707

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Q: Evaluate the integrals

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Q: csc?x 3. J: cot x-1

A: Solution: The objective is to evaluate the given integral

Q: |(e" +1) - csc²(e* + æ)dx

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Evaluate the integral. 17xe dx +C %3D ENOTE: Enter the exact answer.

A:

Q: write the integral in terms of u and du. Then evaluate.

A:

Q: b) Find the value of a such that the value of the integral /" ecos(?) sin(t) dt = 0 Answer: I =

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Q: sin Vw dw

A: We have to solve the integral: ∫sinw dw Solving by algebraic substitution: Assuming  t=w⇒t2=ww=t2…