Solve each of the definite integrals in Exercises 67–76. 37 sin° x dx | sin° xdx 67. 68. 8, /2 69. cosxdx 70. | sin? x dx -1/2 sin x cos?x dx | sin? x cos?x dx 71. 72. T/4 /2 sec*x tan? x dx cscx cot³ x dx T/4 73. 74. 0, 14 sin² x | cos" x /4 sinx dx cos?x 75. dx 76. 0.

Q: secx-tan x cos x %3D 1+sin x secx+tanx

A: consider the left hand side of the equation sec x -tan xsec x +tan x sec x -tan xsec x +tan x=1cos x…

Q: 1//2 x8 Evaluate: sin" (1-2x')+ cos" (2axvi-x")} dx. 2x²)+cos* 1-x4 -1/V2

A:

Q: 6 tan (10x) dx

A:

Q: cos 2X 80 dx csc (x) sec (X) CSC

A:

Q: Question: Find the derivative of 25 cos(sin² (tanx)) Solution: d dx (25 cos (sin²(tan x))) 11 50…

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Q: Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B.…

A: ∫cos3xsinxdx

Q: 1. 1+tan (0²) = sec (0²)

A:

Q: COS Cos 3x dx CoS

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 2. Find [cot (x)sin* (x)dx

A: First simplify then integrate

Q: cos(sin (0.685)) = O -0.2715 O 2.7285 O 1.7285 O -1.2715 O 0.7285

A:

Q: B) prove du d 1. sec u = secu tan u %3D dx dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: tan (2xy²) = 2sinh "(9)

A:

Q: if Sec X = 2 then tanx +Cos X =

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Q: S sin 8x sin x dx O - 0. 02 O - 0. 01 O 0.02 0.01 O O O

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Q: 18. y = tan 5x³ sec¹6x7 cos 8x6

A:

Q: Determine (tanx sec' x dx

A: We will evaluate the integral.     We know  sec2x - tan2 x = 1            implie, sec2x = 1+ tan2 x

Q: eft co Evaluate cos² (9x) dx.

A:

Q: If a>0 is a constant then sec (ax) tan (ax) dxD

A: Assume sec(ax) = t,