Evaluate the following integral and show your work: sin? x · cos? xdx ,2

Q: Evaluate the definite integrals. So sin (4x) cos (5x)dx Hint: Write your answer in the fraction form…

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Q: Evaluate the definite integral. sin(2t)dt

A: we use substitution method

Q: Use the substitution a = 2 sect to evaluate the integral dz

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Q: f. f S tan° r sec xdr tanx sec

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Q: Q2: find the integral of trigonometric function cos sin* dx

A: Given the integral is ∫0πcos5xsin4xdx

Q: dx 3.J Jx2+16

A: Answered no. 3 We can solve the given problem using the concept of integral trigonometric…

Q: Find the following integrals. If you use trigonometric substitution, please simplify using the…

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Q: 1. Evaluate the definite integral. (a) S sin+sin tan²0 sec²0 (b) *|2x-5|dx -do

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Q: 11. Find the definite integral of S, 2 sinx 1+cos x dx : A. In (1+ cos x) В. 2 In 1 C. In 1 D. In 2

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Q: Evaluate the definite integral.

A: Given:∫sin2x dxFormula:sin2x=1-cos2x2

Q: Identify the amplitude for: y = 3 sin(x) + 1 %3D

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Q: | cos (5x) cos (3x)dx

A: Given integral: ∫cos5xcos3xdx We know, cosαcosβ=12cosα+β+cosα-β. Also, ∫cosxdx=sinx+c.

Q: /si n0 cos

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Q: TT sinx sin 2x dx 2 cos x

A: Given the definite integral ∫0π4sinx sin2x2cosxdx. The objective is to evaluate the integral.…

Q: sin I 3 1+2

A: We can use the concept of odd or even function in order to solve the given problem.

Q: sin?x dp. J 1+ sin?x

A: The solution for the above question is as shown below.

Q: Consider - Vx2-9 x3 dx. Using trigonometric substitution, what is the integral form in terms of 0?

A: To solve a certain type of complex integrals we usually simplify them using basic trigonometric…

Q: 1. Evaluate the integral. S. a) t sin3tdt b) / V1+a* dx

A: (a) Given: ∫0πt sin 3t dt Apply integration By part : ∫I.II dx=I∫II dx-∫ddxI∫II dxdx Take: I=t and…

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.