Stanx secx dx a) let ustanx b) let v= sec ² x c) Explain the difference. of the answers Evaluate by afference (a) 9 (6) two methods.

Q: dx Evaluate: ] Vx + 2ax dx Evaluate: V4x – x²

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Q: dæ . (x – 3)væ² – 6x + 5 Evaluate 2.

A: To evaluate the following integral

Q: Ja + + tan x) sec?x dx

A:

Q: 2x + 2 Evaluate : sin :Ssi". dx. 4x² + 8x + 13,

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Q: Evaluate: dx x? +9 (3) (4) 5, x? In x dx

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Q: Let &(t)-(a cost,a sint,bt), then T(t) 1s: (-a sint,a cost,b) (-a sint,a cost,B) (a sint,-a cost,b)…

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Q: What is tanh (Ei) O V3 V3i O 13

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Q: 5) f9'd:

A: A detailed solution is given below.

Q: Solve the IVP y' = [, y+,yc0) = [2]. [et y + -1 3.

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Q: sin 4xdx = 2(sinx)? -2Csinx)4 tC %3D

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Q: How would I do this question?

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Q: d 4x2 -dw |dw dw tan w. %3D 2x tan(x) tan(2x)

A:

Q: 27) (X+yi) = -2-2i 3

A: We need to find the value x and y.

Q: S seco tan p sec²p-seco -do

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Q: x2 x*(a² + x²)% dx = 1 (a² + x²)7 + C 15 3

A: We use substitution method

Q: Q3) Determine how the rank of A varies with x x1 A II

A: The rank of matrix A varies with x as below.

Q: 2) sec tan 4

A: Solution: The objective is to find the required value

Q: In x2/25+ x² dx , we let x = 5sine. (A) True False

A: FALSEHere , the correct substitution is x=5tanθ differentiatate On both sidesdx= 5 sec2θ…