Evaluate the following linbegrals : a) de (32-1)e dx of c)r Cos CVZX) cos x dae

Q: 2 cosxesinx dx 0. а. e-2 b. e +1 c. е —1 O d. "e +2

A: A definite integral is computed using the fundamental theorem of calculus. This theorem states that…

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Q: Substitute cos 60 = u. Differentiate with respect to e on both sides. sin 60 de = du

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A: It is given that, ∫ππ3ddxsin2xe3x+πdxwe have to evaluate it.

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Q: Evaluate 22 1 JS = sin x cos X 0 y y X dA.

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Q: 2. Evaluate the following: d A. dx 3x 2. 2 + tan ex B. ³./₁ 2e 1- e dx

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Q: Evaluate cos zV1+ cos². dædy

A: Given double integral is                    T=∫01∫arcsinyπ2 cosx1+cos2x dxdy ⋯⋯⋯⋯⋯⋯ (1)

Q: 3. Draw the graphs of: y = 2 sin (2x) y = 3 cos (.5x) a.) b.) c.) y = tan(2x)

A: (a) Sketch the graph as shown below.

Q: End a f4 4x cos (11 - 5x²) dx. Simplify your answer. Answer:

A: ∫ 4x· cos11-5x2dx

Q: 0 L t 912

A:

Q: Evaluate: sin® (÷ cos? 2. (() dx

A: We we will find the value of the integral.

Q: 꺼니 Sin (t) dt Cos? CE)

A:

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Q: S(csc?x - cot?x + sec 2x) dx Evaluate

A: Given,  ∫csc2 x-cot2 x+sec 2xdx

Q: 9. Write in the following in terms of its co-related angle: (a) sin 75° = (b) cos (3)-

A: We have to Determine the given expression in terms of its co-related angle.

Q: Cos 7 花 2.

A: We have given definite integration with respect to x. While solving the indefinite integral, we add…

Q: Graph the curve r² = 4 cos 0

A: the required graph is difficult to draw by hand so  I have attached the picture  of  r2=4cosθ

Q: 1 10. cos 0 tan 0 +1 2

A: .We will verify the given identity.Below find the solution in image.

Q: EVALUATE cos (bx/) dx

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Q: Use Cofunction Identities to Evaluate the Expression: sec(y-7) Find sec if cscy = -1.08.

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Q: Use symmetry to fill in the blanks:

A: Given:                         ∫-ππ(sin x+ cosx) dx=   Solution:                           ∫-ππ(sin…

Q: dy Given y = 4e is: cosa, da Select one: a. 4e * + sinx b.-4e + sinx c. --4e¯ª - sinx d. 4e * COST

A: We are given with the function y and we have to find dy/dx which we can find out by differentiating…

Q: Hiw Find et dx sin -x も

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Q: Integrate the right side. cos u du + C 187

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Q: Calculate / cot cot³(x) csc³(x) dx. Your answer should be in terms of x.

A: