dx a. Evaluate the integral sin x-cos X

Q: Use an appropriate substitution to show that the value of the following definite integral has value…

A: SOLUTION-

Q: sin? x dx

A:

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A:

Q: O: Find the integration for the fol dx 1-) sin(x)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: dy 1 Let u = tan-y sin y – cos y -

A:

Q: Use substitution to find the indefinite integral.

A: Substitute u=9x2+18x,du=18x+18.

Q: 3. Evaluate the following integrals: sec x dx b) S- VIn(secx+tan x)

A:

Q: Find the indefinite integrals: (a) S dx x+1 + C. (b) S da = 23 x2+1 =

A: SOLUTION-

Q: Express the integral a.e •e²² dx in terms of the integral dx .

A:

Q: A. Evaluate the following integrals. ´sec² 0' dx 4. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

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A: solve the integral

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A: Solution is given below:

Q: Y Evaluate the following integrals: 1) tan(3x +5) dx evs -1 2) dx 3) [Vx² -x' dx 4) sin(tan 0) sec 0…

A:

Q: 2. sin'0 cos e d0

A: We have to find the integral

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A:

Q: Evaluate the integral. S (sec r- sin r) dx

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Evaluate the integral.   ∫ 0 t ex Sin(t - s) ds

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A:

Q: c) Seax.Sinbx. dx =? Calculate the integral

A:

Q: sin x cos? x dx

A:

Q: 2 sin? t sec“ t dt

A: To determine:

Q: Evaluate the following integrals: dx dx dx ii) S 2 sinx+8 cos x a sinx+b cosx 1+tan x

A: (i)

Q: Evaluate the integral 7e* sin(t – s) ds

A: Explanation of the answer is as follows

Q: evaluate the iterated integral

A:

Q: s) Calculate the indefinite integral using Trigonometric Substitution. X [ dx +x²

A: This is a problem related to integral. Based on the trigonometric substitution we will answer the…

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A:

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A:

Q: To evaluate: the integral function / sin tcos*t dt.

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: dr Evaluate the integral / dx. sin x cos x

A:

Q: Evaluate the definite integral. * T/2 9 cos(x) sin(sin(x)) dx

A:

Q: Use the substitution x = 3 sin t to evaluate the integral f v9 – x² dx. - Note: Use C for an…

A:

Q: Find the indefinite integral. a. fsecy (tany - sec y )dy b. f(x²-9)(2x)dx

A:

Q: Evaluate the integral J sin. sinh? (2x) cosh (2x) dx. sinf(2x) A +C 9. sinh(2x) +C B 8. costf(2x) +…

A:

Q: a) Evaluate the integrals using appropriate substitutions. dx Sine i) S ii) S de Cos? 0+1 1+16x?

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

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A:

Q: . Evaluate the integral Z (sin θ + cos θ) dθ.

A: Given that: ∫(sin θ + cos θ) dθ.

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

A:

Q: ad the indicated integral (if it exists) E dz +1

A:

Q: dx. ot Find the indefinite integral x4 = xp

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Q: Find the integral of the following function: sec? (x) dx 1+ tan(x)

A:

Q: Evaluate the definite integral. *a/6_sin(t) _ dt cos?(t)

A: Given, ∫0π6sintcos2tdt  We have to evaluate the definite integral.

Q: Evaluate the following integral. * R/2 sinx sin y dz dx dy 0 0 0

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Q: Evaluate the indefinite integrals, use the substitution when appropriate. a) S(e5- VE +) dt b) S cos…

A: a. Evaluate the given integral as shown below: ∫ t5-t+1tdt=∫ t5dt-∫tdt+∫1tdt…

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

A:

Q: (b) Find the following integrals: i. f(4x³+ sin x) dx. ii. ₁²(x²+)dx.

A:

Q: dx x3∫?cos(t) dt evaluate the integral

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Q: 20. Evaluate the following definite integral: , sec?x dx

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Q: Evaluate the integral cos (Ty) dy dr. dx.

A:

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.