that y (A) --4 sec² (4)=8 (C)=2 sec² (4) = 4 the secon (B) (D) - - dx²x= = 4 sec (4) sec (4) tan (7) 2 4 sec (4) = 4√2

Q: 25-49x² dx Select one: O a. 25 14 O b. 0 с. O d. O e. 25 14 25 14 arcsin()+ 7x XV 25-49x2² arccos…

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Q: If csc e = 1/3t, then where defined, cos 0 A) Square root of (1 – 9t²) 3t/squareroot of (1 – 9t2)…

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Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

Q: (3) csc (3x) dx = A) In csc (3x) + cot (3x)| + C C)-In |csc (3x) - cot (3x)| + C B) - In |csc (3x) +…

A: We will solve this question by substituting the value of 3x.

Q: (c)(i) Use the substitution x = tan²0 to show that √x 。 (1 + x² ) ² (ii) Hence find in simplest…

A: We have to show                            ∫01x1+x22dx=∫0π42sin2θdθ     by substituting  x=tan2θ and…

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A: We use cot(x)=tan(90-x) property

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Q: i) Simplify sin(2sin-1x). ii) Show that sin 30 = 3 sin 0 – 4sin30. iii) By using the substitution 0…

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Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

A: Please see the attachment

Q: b) Prove that, S∞ (@3x+1)² dx e2x 2π 9√3

A: Let we get, Let We get, This implies, This implies

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Q: Differentiate y = 5 sin(2x-4). O a) dx = = -5 sin(2x-4) о O b) ad ax O c) = 5 cos(2x-4) = -10 sin(2x…

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Q: The value of I sin4xx |dx is equal to (a) 0

A: To find: ∫01sin4πxdx

Q: ) Write sin(2 sin-(3x)) in terms of x only. (i) 6x/1 – 9x² (ii) 6x (iii) V1 – 9x² - (iv) Not listed

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Q: The value of (-1+√3 i)^(1/3) is О 2 exp((2TU/7)^i ) 2 exp((2/3)^i) 2 exp((2T/9)^i) 2 exp((2T/5)^i)…

A: We need to choose correct option. As per Bartleby's guidelines we can solve only one question from…

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Q: (4 - x*)3/2 dx

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Q: A) в) (2х)5 . (Зу)5 c) (ба)6 (20)6 y°

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: 5. The parts of this question are unrelated to each other. (a) Evaluate (3√8x + (2x + 1)²) dx. OK

A: B=∫(38x+(2x+1)2)dx  ∫xndx=xn+1n+1+c