T Cos x-sin x Jr x² dx So

Q: 2. cos?x dx =x+ sin 2x + C X_SO

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Q: 1 COS x dx X - sin x | C. #55. 2)

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Q: T sin(x) cos(x) dæ = Hint:

A: Topic:- integration

Q: d²y Find 2 dx? y = sin 2x+cos² x

A: Using derivatives.

Q: x" cos h(x) dx

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Q: 2. I t/Cos X SinX

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Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

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Q: X COS(x) dx = k 0. x)UIs x (b) – 1.1365 (c) – 1.3651 (d) -

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Q: (a) J x cos x dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 5. sin(x + y) = y² cosx

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Q: Evaluate L. Cos 3 -1 X x² + 1 dx

A: Simpson's 13 rule: ∫abydx=h3(y0+4(y1+y3+y5+...++yn-1)+2(y2+y4+y6+...+yn-2)+yn), where h=b-aN and N…

Q: 1. sec x dt tan?t dx when x= 3. , t= ¥

A: Solution

Q: 10. f sin x dx 25+cos²x

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Q: •T/2 cos“ x dx. OS

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Q: T/2 S cos (x) sin°(x) dx = %3D

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

Q: fo (9 cos(x) – 2 sec²(x)) dx

A:

Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

Q: (x + 2) sin ydx + x cos ydy = 0

A: Solve by variable separable

Q: (b) I cos cos(√x + 3) dx

A: b Given integral is ∫cosx+3dx. We have to solve the given integral. Use formula…

Q: 2n 3. o (x + cos x) dx

A: Given :

Q: Q: Evaluate: 2х -1 cos dx (1+x²

A: Solved below

Q: T/3 sin x dx COsx -1

A: I have stated the used formulas in the solution.

Q: T/2 COSX dx (2 +3 sin x)

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Q: dx. (a) [ cosʻ x+4 sin x (i) Evaluate Using the substitution ttanx

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Q: 2. Find cos ec (In x) dx . x1+ cot(h x)

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Q: T/2 cosx dx (4 +2 sin x)3

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Q: x³ cos(x²) dx = k – | x sin(x²) dx

A: As per Bartleby guideline for more than one questions asked only first is to be answered please…

Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

A:

Q: 1. sin° x cos x dx

A: sin3x cos4x  = sin(x) sin2(x) cos4(x)  = sin(x) (1 - cos2(x)) cos4(x)  = sin(x) (cos4(x) - cos6(x))…

Q: 2 cos x – 1 dx = ? X

A: In this question we used the expansion of function and evaluate the integral

Q: 7 sin x dx = 1 + cos x

A: ∫0π27 sin x1+ cos xdx

Q: dx 3. S. 5sin x+12 cos x

A:

Q: xdy - cyt x2 cos (x)) dx = o

A: The solution is given below in the next step:

Q: (V1 + sin x cOS x dx

A:

Q: S sin(ax)cos(ax)/3 – cos(2ax) dx

A: Sin(2ax) = 2*Sin(ax)*Cos(ax)

Q: 3. F sin xcos° xdx

A:

Q: x2 Q1 (x sin x+cos x) -dx

A: For integrating the given integral we will use the below-mentioned integration formulas…

Q: x² cos(3 x) dx

A:

Q: 7 sin (x)cos(x)dx = + C

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Q: (d) ſ tan² 3t dt 5 cos? x – 3 tan x dx - (e) S cOs X

A: The integration of the integrals is d) tan2(3t)  e) (5cos2x-3tanx) /cosx

Q: 1 dx J 3 sin x+4 cos x+3

A:

Q: I sin(z) cos I) COS(2C (x) dx %3D

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Q: T/2 ( 4 cos (x) sin° (x) dx

A: To evaluate the integral ∫0π24 cos2(x)sin3(x) dx We know that, cos2(x)=1+cos2x2sin3(x)=3sinx-sin3x4…

Q: 3 Cos |X TT 13) y = 3

A: We need to plot the graph of given curve:

Q: •/2 sin x cos x dx

A: To find:

Q: b) ſ e2x sin 3x dx

A:

Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…

Q: sin x dx 1+ cos2 x 31. T/2

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: sec x dx cos(2x +a)+ COS a

A: Introduction :