Separate into real and imaginary parts and show your answ (3–2i )( 1+2i) Z = (2- i)2

Q: sec2 (sec-1 æ) dæ ævx? – 1 2 | Detailed solution, 3

A: Given: ∫32sec2(sec-1x)xx2-1dx

Q: Evaluate ∫x3 √(1 - x2) dx using a trigonometric substitution

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Q: g(x) = 7 sinx, [0, π], 6 rectangles

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Q: dx 2 arctan(4)- arctan (2)-a 4 arctan (5)- none of the choices 3 arctan (2)-

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Q: Evaluate cosh(72) dz, C the line along the imaginary axis from to 2i. cosh(72) dz

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Q: x2 dx 16-х2

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Q: Sec2(3x)=4 in the interval [0,2pi]

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Q: (2) Find it -ソ= x(lue) 2- Y=lu(Cosx )

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Q: sec2 (e* – 7) dx

A: Given integral ∫ex sec2ex-7dx

Q: sin(16x) = D² +256

A: It is particular integral problem If the rule fails then we differentiate denominator and then apply…

Q: 3x dx 3,

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Q: t Sintcost de

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Q: 4 dx 16 + x2 -4

A: To find: The integration of ∫-44dx16+x2. Concept used: Integration formula: ∫dxa2+x2=1atan-1xa

Q: tan(x²y) = (x + y)³ %3D

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Q: d 1 csc-1(Invx) dx %3D 1 -

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Q: 1. x*dx 2 3 (16–x³) 2 X-

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Q: r2+vZ 1. =dx |4x – x²

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Q: Solve x2 + 10x – 7 = 0 Give your answers correct to 3 significant figures. Show your working…

A: For the quadratic equation, ax2+bx+c=0, the quadratic equation is given by:

Q: 5) y =2coi %3D

A: Given that: The equation of the function is y = 2 cot θ3 +5π6 .

Q: cscx - sinx 1 + cost 84. (csct + cott) %3D 1- cost

A: transform the equation on the LHS using trigonometric formulaes

Q: 3) Plove that (3-21) (x+21) = 3 +2i if it was very valuable X, Z

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Q: 2r sin 1 (r²) d»

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Q: у %3D (3 — 2х — х?)(х + 3)(1 — х)2 , find dx

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Q: 4- [10 points] Evaluate Jx²4** dx

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Q: cos e de O 4

A: Given

Q: 1 -dx 8х — 24

A: ∫18x-24dx

Q: 8. dx Vx² -9 2 X

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Q: 5x3 b. y = %3D x3-sin x

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Q: Evaluate. 1 (Vx - 1) dx 1 |(Vx - 1) dx = (Type an exact answer in simplified form.)

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Q: cos 2x 6. 4

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Q: Show that i-x -x 3. (i) dx Vi- –x²

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Dsinx-sin3x [3] sin³x = find D and E. %D E

A: Solve for D and E

Q: J with 2 equations Give an exa

A: Let ax+by=0 and cx+dy=0. These lines pass through the origin. Then  ax+by=0cx+dy=0 is a homogenous…

Q: 1— (Iпх)2 dx -

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Q: dx Ji slx+4) 1 (r+4

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Q: y=−2+4sin(x2−π) sketch

A: We have to draw

Q: Evaluate using trigonometric substitution ∫x^2/(16-4x^2)^3/2 dx

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Q: dx 2. J 2VX2-36

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Q: csc (x) = 8.8. If x and y are complementary, what is sec (y)? %3D Submit

A: We have given csc(x) =8.8  And x and y are complementary.  We have to find sec(y)

Q: sec² i 6. dt

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Q: tan x 2. (D'+) y %3D

A: We are allowed to solve one question at a time, since you didn't ask for any specific question so…

Q: -3D 3I5

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Q: Express the following in standard form. Show your work using the Equation Editor Tool. (-8+ 2i)?

A: To solve: -8+2i2

Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: x sinxdx (Tic-Toc-Toe)

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Q: dx 9. JI+Vx+1

A: To evaluate the given definite integral.

Q: Find Se2" sin(2x)dæ

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Q: tan (2x)dx, (Use 2 decimal Let x 0.49 and y = 1.9. Determine the value of C when you evaluate digit)

A: This question can be solved using the concept of ILATE.

Q: 2. TEノ %3D

A: We are asked  find the critical points.