1+cscx cot x substitution, the integralf dx is equal to: X-CSC X

Q: dx Using half-angle substitution, the integral is equivalent to 2+ sin x dz A 1+z+z? dz (B (1+z)? ©…

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Q: 3 #ind y' it y= cot" xf-i tind y' o# y= 4eax_ 4e-dx 2. IF = x secx - In(secx +tanx), #ind q'. 3#ind…

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Q: indicated substitution to evaluate the integral. (7x)cot (7x)dx, u=7x E (7x)cot (7x)dx= %3D

A: Given :           ∫42csc7xcot7xdx

Q: Using an appropriate substitution, the integral x³ csc²(x¹) cot(x4) is equal to -dx

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Q: Give the proper trigonometric substitution and find the transformed integral, but do not integrate.…

A: we have to transform the following integral

Q: dx Using half-angle substitution, the integral reduces to 3+ Scosx dz A dz B dz 422-1 2 dz D 322+…

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

Q: Using the method of substitution, b. x² V8x + 5 dx = f(u) du a vhere du dx = а — b = and f(u) = The…

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Q: g(b) Use the Substitution Formula, f(g(x)) • g'(x) dx = | f(u) du where g(x) = u, to evaluate the…

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Q: a) Ś ingro find the value of the i od specify the integrel caiedes |-x2

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Q: x² + 64 Using trigonometric substitution, given dx, the simplified form of the integral is: […

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Q: Given: √√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? A…

A: The given integral is: I=∫-x2+4x+5dx=∫9-4+4x-x2dx=∫9-4+4x-x2dx=∫9-(x-2)2dx

Q: sec®(x) dx S V cot(x V cot(x)

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Q: The definite integral . °[cot?(x) + csc2(x)]dx when evaluated is equal to A /3 + Br, where A, B are…

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Q: Evaluate the integral. cot (2x) csc°(2x) dx = + C NOTE: Enter the exact answer.

A: The given integral is ∫cot32xcsc32xdx

Q: Find the value of integral | (x + y + z)ds, where C is parmeterized by 7(t) = (2/2 cos( – t), 3 sin(…

A: We will solve this line integral

Q: By using a trigonometric substitution x = 3sece ,where 0<0 < 27 The integral dx x3 Vx2 – 9 can be…

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Q: Evaluate the integral / cot x csc² x dx using the substitution u = cot x. cot³ x csc2 x dx +C

A: topic - integration

Q: b g(b) Use the Substitution Formula, f(g(x)) • gʻ(x) dx = | f(u) du where g(x) = u, to evaluate the…

A: Answer and explanation is given below...

Q: x2 dx J V4x – x²

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

Q: The definite integral . °lcot?(x) + csc²(x)]dx when evaluated is equal to AV 3+ Br where A, B are…

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Q: Using an appropriate substitution, the integral [x² x² csc²(x³) cot(x³) is equal to - dx - In…

A: Given ∫x2 csc2(x3)cot(x3)dx Formula: ddx(cot x)=-csc2xddx(xn)=nxn-1 Consider ∫x2 csc2(x3)cot(x3)dx…

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: Using trigonometric substitution, given (Vx+64 dx, the simplified form of the integral is: sec³ed®…

A: We have to check whether the given statement is true or false.

Q: x' dx Evaluate the integral using trigonometric substitution. V 36 – 22

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Q: Evaluate the double integral : 4 3, 3x Si Si +14) dy dæ Answer:

A: Using integration formula we can solve this double integral

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: After choosing the appropriate trigonometric substitution the integral -dx, becomes J4 x O None sin…

A: Topic- integration by substituting

Q: S. [cot(x) +csc²(x)]dx when evaluated is equal to A3+ Br, where A, The definite integral + csc B are…

A: topic - definite integral

Q: Using appropriate substitution, csC x cotx the integral S dx is equal to: e+csc x

A: ∫cot(x)csc(x)csc(x)+edxSubstitute u=csc(x)+e→dudx=-cot(x)csc(x)→dx=-1cot(x)csc(x)du=-∫1udu=-ln(u)

Q: 12 1 dx by using trapezoidal rule, taking n = 4, correct to four 1+2x? Evaluate decimal places…

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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: (cot? 0 + csc² 0 sin 20) de

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Q: Directions: evaluate the following integrals sinx 4. S –- dx cosx./cos?x-25 3 5. S. dx secx -

A: To evaluate the following integrals

Q: V4 the integral | -dx, becomes O None cot2 (0)d0 tan? (0)de cos? (6)de 4 sin (0)de

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Q: Using a suitable substitution, the integral r a14 2 csc x cot x dx is given by: csc2 x-1 Select one:…

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Q: valuate the integral: dx A) Which trig substitution is correct for this integral? 1 -sec(0) 16 7 -…

A: Given that: ∫16x2-49x3dx

Q: Question 6 dx Using half-angle substitution, the integral is equivalent to 2+ sin x zp 1+z+z? dz…

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Q: Using given integral values: Si f(2)dæ = 6, g(x)dæ = 6, f† h(æ)dæ = 2 Evaluate integral S (5h(x) +…

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Q: We Th Fr Sa Su Evaluate the Integral 4x dx e4x +1

A: Solution of given question is written in below steps.

Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = | f(u) du where g(x) =u, to evaluate the…

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Q: Evaluate the integral. a/6 9 sec?x dx a/6 | 9 sec?x dx = (Type an exact answer, using radicals as…

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Q: Using a trigonometric substitution, the integral -dx becomes: R+25 Ss tan (@)de 5 tan?(@) de sec e S…

A: In the question we have to find value of integral after Trigonometric substitution.

Q: Evaluate the definite integral given below. 1 (4 cot (x) csc (x) – 2r?) dx (Enter an exact answer.)…

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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&lt;b From the given…

Q: Evaluate the integral / cot x csc² x dx using the substitution u = cot x. cot° x csc² x dx = +C

A: From the given problem: I=∫cot6xcsc2xdx    .....1 Now using the substitution method to solve the…

Q: x2 dx Using trigonometric substitution, the integral is equivalent to 2 Vx²–4 z/2 A 4 sec20 tan0 d0…

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Q: By using appropriate substitution and then trigonometric substitution to evaluate the integral. 2 1.…

A: Use the substitution method, to simplify the integrand in the integral ∫etet+9dt.…

Q: To evaluate the integral 1 dx, we substitute (x2 + + 2x)3/2 x = sec 0- 1. Select one: a. False b.…

A: It is true.

Q: Used Set up, but do not evaluate, an integral for the length of the curve. y = 8 cos(x), Os xs 2x dx

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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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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.