\ x/x2 +9 Solve each of the definite integrals in Exercises 79–86. Some integrals require trigonometric substitution, and some do not. 79. xvx' + 4 dx 80. Vx' – 9 dx 5 •2 1 1 dx dx x/9 - x2 81. 82. r1/2 1 83. dx 84. x³V9x2 – 1 dx -1 .2 X³VX2 + 4 dx dx (9 – 2x²)3/2 85. 86.

Q: how do i siopliey 219=-5 into 1i215 3.

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Q: Solve each of the definite integrals in Exercises 67–76. 37 sin° x dx | sin° xdx 67. 68. 8, /2 69.…

A: We have to evaluate the following definite integral: I=∫-ππsin2xdx We know that, cos 2x=1-2sin2x…

Q: 2 arcsin ++2rk, ±- 4 - 2rk + 2жk 4 ±"+27k, ±- 4 - 27rk + 2жk 4 57 + + 2rk, ±- 4 - 2rk 4 ++2rk, ±: 4…

A: sin-(-2/2) 2/2 = 1/2 sin-(-1/2) sin is negative in 3rd and 4th quadrant so here π + π/4 = 5π/4 and π…

Q: (1- sin@) ) (1-sini (It sine

A: Given: I=∫dθ1-sinθ1+sinθ   As we know that; The trigonometric identity: 1). sin2x+cos2x=1 2).…

Q: Solve for x: sin^2 x -cos^2 x+1=0

A: Solve the equation

Q: On the guide to solve integral sin2x/1+cosx why is the first step changing it to 2cosxsinx/1+cosx?

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Q: Solve for z, and give your answer in the form a+bi. z^2 + (2i + 1)z = i

A: To solve for z in the given equation, we first rewrite it in the form of a quadratic equation:z^2 +…

Q: For Exercise 68, Section 5.2, exercise 68: sin^4 α - cos^4 α / sin ^2 α - cos^2 α=1

A: exercise 68: sin^4 α - cos^4 α / sin ^2 α - cos^2 α=1

Q: 1 Find L -1 s²+4s+8] A)늘e-2t sin 2t B)- e2t cos 2t c)e-t sin 4t D) e2t cos 4t

A: Formula Used:L{eat sin(bt)}=b(s-a)2+b2

Q: Evaluate [²√₁-Pa dx °ex√1_(ex)2 ofile कस 0 √i-(ex)

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Q: which is f-1 (x)? f(x)= 1/5x + 3/5

A: Given, fx=15x+35 We have to find f-1x.

Q: Using the method of variation of parameters find a particular and general solution for the following…

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Q: 3. Population in a town is given by the exponential equation, P = 14000e05st in t years. a. Write…

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Q: f(x)=2cos^2 x-1 , 1-2sin^2 x , cos^2 x-sin^2 x and cos2x Make a comparison of the four expressions

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Q: how do you do the integral of sin^2x multiplied by cos^4x. The answer here was unclear

A: Given integral is By using the results, we get

Q: Factor  Cos^4 x + 2 cos^2x + 1

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Q: e^2x+sin2x+(1/2x)dx Find integrals and answer in simplest form

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