:Find the Value af the integral COs Z d2 2(Z-7) 121=1 2. 22+1 COS Z JZ 3. 121=1 z (2-3)

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Q: cos(sec-'/1+x²)= Select one: 2x a. V1+x² O b. V1+x? 1 Oc. 1+x2 d. V1+x?

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Q: Prove using the IVT cosx = cos-1x has a solution in (0, 1).

A: cos x = x   rearrange to x - cos x = 0

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A: Use the given information.

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A: Given: W=spanℝ1, cos2x, sin2x=ℝ+ℝ cos2x+ℝ sin2xWe need to justify for each given subsets that it is…

Q: d) fe'cos( 41)

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Q: Solve the definite integral using usub

A: To integrate,

Q: の x?. xy- yーx find %3D of 3 f Fex)こ X²+5x+2 Find f cl Q Let texl= goe) Find fezt ifgeziz=3_ find…

A: Differentiating the functions

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Q: Evaluate the definite integral 8 | (18a? – 8x + 3) da

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Q: The sin(5x + 2x) dx cos5xcos 2x is equal to 2 In(sec 5x) + 5In(sec2x) +C А. 10 In(sec 5x) +…

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Q: Use the second fundamental theorem calculus along with the chain rule to find sint dt dx sinx 2x…

A: We have to find          ddx∫1xsint dt using the second fundamental theorem calculus along with the…

Q: 1) [sex² 4x² - x² dx 2 dx 2 ਤੇ 3) sex² (4x+²) dx 2) 4) S X dx √4-9x² using Integration by…

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Q: Evaluate the following integral e* sin5x dx Select one: O( ex/26 ) ( sin5x - 5 cos5x) +C O( ex/26 )…

A: Given, Evaluate the following integral  ∫ex sin 5x dx   The required calculation can be defined by…

Q: Find the -of the following function : ду w = cos (x2 + 2 y) – e4x- z*y + y3 .A a w = 2 sin ( x2 + 2…

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Q: 2 8 dx 1 x(x²+2)² 3.

A: Solve the following integral

Q: HELP EVALUATE THE INTEGRAL

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Q: 8a + 20x dr. x* + 5x² + 6 Evaluate the definite integral

A: We can evaluate the integral as below.

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Q: Integrate fx Sx O cos(4x) dx (sin(4x) - x sin(4x)) + C cos(4x) + 4x sin(4x) + С (4x sin(4x) +…

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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.