Evaluate (5x2+3) cos x dx O (5x2 + 1) sin x + 10x coSx – 10 sin x+C O (5x2 + 1) sin x – 10x coSx – 10 sin x + C (5x +1) sin x + 10x cosx + 10 sin x + C O (5x2 + 1) sin x - 10x cosx +10 sin x+ C 4 Moving to the next question prevents changes to this answer.

Q: Evaluate (x2 + 1) cosx dx O (x2 + 1) sin x + 2x cos x – 2 sin x + C - (x2 + 1) sin x – 2x cos x + 2…

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Q: Evaluate f{ [sec (x) + csc (x)] + sin ()} dx : (2)]? + sin (팔프)}dz O a. tan (x) In |csc (2æ) + cot…

A: To solve the following integral

Q: Find L{} (82+9)2 } cos(3t)-3t sin(3t) 54 cos(3t)-3t sin(3t) 18 cos(3t)-3t cos(3t) 18 sin(3t)-3t…

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Q: By using integration by parts technique, evaluate: 7x cos x dx O 7x sin x – 7 cos x + C - 7x sin x +…

A: This is a problem of integration. Here we will use the integration by parts concept to solve this…

Q: Evaluate cos x + 2 cos x +1 dx sin' x sin x 主x+c sin 主tC 3 sin x cos x COS X + x +c cos xsin X 3 COs…

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Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +…

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Q: Se sin9vdv Select one: O a. O b. O c. O d. O e. -7 sin9v +9cos9v 130 7sin9v9cos9v 130 7sin9v +9cos9v…

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Q: cos(3rk) In k 5k k 1

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Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: Find sin(8) O√3 -|~ 2 √2 2 이틀 2 TT 5T/6 7m/6 2/3 4/3 TT/2 3T/2 ○ TT/3 5/3 _TT/6 /11/6 0

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Q: Evaluate / xcos2xdx xsin2x cos2x + c 4 2 xsin3x + 4 cos3x 2 sin2x cos5x + 4 + c O win2i + costx + c…

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Q: 1. d 3x²-5 dx 7x+1 3. 2. 7 sin(4x²)+e³ sechx² dx +4x² d³ dx³ -7x² + 4x-e³x

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Which of the following could be true if f'(x) = -x O f"(x) = 3 f"(x) = 4x f(x) = -æ O f(x) = -x

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Q: Evaluate cos (x (x2 – 2x + 1) (2x - 2) sin (x 2 - 2x +1) (2 – 2x) sin (x? – 2x + 1) O (2x 2) cos (x-…

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Q: 2) f(3x + cos(x))[3x +2sin(x)-31dx = A) 3x+2sin(x)- 3+C B)13x+ 2sin(x)- 31 +C C) other

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Q: Integrate the function. 2+81 dx 4x2 V In Vx2 + 81 + x x2+81 4x + C In Vx2 • 81 + x] Vx2 + 81 + C 4x…

A: Given,            ∫x2 + 814x2 dx

Q: 9. The value of f 1-x 1+x A. sin ¹¹x + √1 + B. sin¹x - √1 + dx x² + C x² + C C. sin ¹¹x + √1- x² + C…

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Q: Evaluate L{3(sin² 2t )} 24 24 24s 24 а) s(s² + 4) b) d) s(s² + 16) s(s² + 16) s(s² – 16) a O Option…

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Q: Integrate the square root of sin (In x) dx * O x/2 [ sin (Inx) + cos (Inx)] + C x/2 [ sin (Inx) -…

A: Given

Q: Integrate the function. √√36-x² dx O 18 sin O sin ¹ (-2) + x√/ 36 - x² + C +C 2 O 36x √√36-x²…

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Q: Show that T 9²²-x² dx ча In atx a-x +C

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Q: : [5 cos(5)r – 3 csc²(x) ] dz =. Evaluate: O sin(5z) + 3 cot(x)+C O sin(5z) + 3 tan(x) + C O -…

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Q: Which of the following is equal to P (3r² + In(5x) – sin(r))? dr 5 (a) 6x +- + cos(r) (c) r + +…

A: Here given  ddx3x2 + ln(5x) - sinx Therefore , now calculating derivative of given function we get…

Q: By using integration by parts technique, evaluate: 25х cos x dx О 25х sinх — 25 сos + C - -25x sin x…

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Q: Verify the identity. sin(x) + cos(x) = sin(x) cos(x) sec(x) + csc(x) sin(x) + cos(x) sec(x) + csc(x)…

A: sinx+cosxsecx+cscx=sinxcosx

Q: Integrate the function. 181-x? V81 -x² dx 11x V81 -x² In 11 V81- x? +C 2. O A. 11 O B. 181 -x2 In 11…

A: Correct option (A)