in(. Given y=in n Diberi y=In sin 2.r 1-cos2x sin 2x 1- cos2x Show that dy dx -2 cosec2x. www Tunjukkan bahawa dty dx - -2 kosek2x.

Q: sinx dx 7+cos?x 1 arctan /7 (COSX V7

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Q: 1.) xyax ^)/√²-1²) dx + (x² - 2xy) dy = 0

A: Given : x2-y2dx+x2-2xydy=0 To Check : Differential equation is exact or not

Q: By using tabular method, evaluate -3* sin(27r)d.r.

A: The integration by parts is done using the formula: ∫udv=uv-∫vdu.

Q: Which of the following is equal to J: x2 dx ? A. sin-1 (t) + € B. sin- (t) + € Option 1 O Option 2…

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Q: Vtan XP sin X cosX

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Q: B) prove du d 1. sec u = secu tan u %3D dx dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Consider the function y=sin0, where 0=u+v. Suppose that u = v. Show how the Sum and Difference…

A: We will see the ans in next step

Q: 2. Is trigonometric substitution needed to evaluate /9 - x² dx?

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Q: 5. tan° x sec x dx

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Q: Evaluate and Graph ¹) S ( sin x (1-x) dx dy do

A: Given: ∫01∫0ysinx11-xdxdy. To Evaluate: The above integral. To Sketch: the graph of the region of…

Q: 14. Evaluate cos 3x+ dx. 2

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Q: 1-) 2csc23x 1-S sec3xVsin3x

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Q: d. Show that sin 8x + sin 4x cos8x-cos4x = -cot(2x)

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Q: 5 4+ 3 2₁ 1- 0 (,¹) TT 2п STT 9 п 2 ,1) Уп 5п

A: To find the Sine function represented by the following graph.

Q: Evaluate 3 cos z sin" e dz.

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Q: lim ze = -9 cos 3 + i9 sin 3. %3D Select one: O True O False

A: The statement is TRUE  The detailed solution is as follows below:

Q: Question 5 of 11 (3x-2+tanx-4)dx= O A. -4+ OB. -3x-2+sec²x + C +tant-4 C. 6x-2+tanx-4 OD.…

A: Given;  The integration of derivative of (3x-2+tanx-4).

Q: Q6) Calculate the mean value of y= 24 sin5 0 cos 0 from 0 = 0 to 0= J\6

A: Mean value is evaluated.