(d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

Q: So Jo (sin x + (sin x +4)² dx 0

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Q: b. Stos-¹0 ¹(y) sinx √1+ sin2x dx dy

A: The given integral is, ∫01∫0cos-1ysinx1+sin2xdx dy. To find : Evaluate the integral. To evaluate the…

Q: Solve Sx Joox Sx Jox) Sin (x) dx

A: We can solve the integral using integration by parts: Let u = Jo(x), and dv = sin(x) dx, then dudx =…

Q: 2 6. dx (sin x – cos x)?

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Q: COS V4- x2 dx -2 1/2

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Q: y=sin(x−y)

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Q: Cosxdx+(1+2 /y) sinxdy =0

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Q: Sec (Cosx) dydx 1- Sin

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Q: csc² xcotxdx 4. S csc?xc 4-cot?x

A: As per bartleby guidelines we only give first question answers.

Q: 4 sec?x b) Find dx. V20 + tan x

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Q: tan-x dx 3+3x? -1 (b). /

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Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: (cosh ar +h)dr

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Q: 4 Find (b) y = 9. sin 2x.

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Q: Solve (cosx)dy = (sinx)dx

A: The objective is to solve the expression cosxdy=sinxdx

Q: dx = 3 cos° x/2sinx

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Q: Q2: (a) Evaluate ſ cosx sinx V1 – sin4x dx.

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Q: [(2sin x + 3cos.x) dx

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Q: x² (d) √ √ 1 - 4.² (HINT: sin² t = ½(1 – cos 2t).) dx. Evaluate

A: Integration Using Trigonometric Substitution We use trigonometric substitution in this problem to…