cos x II. S .dx V1-2 sin x III. Stan³x sec*x.dx

Q: 6. S sin x In(1 + sin x) dx

A:

Q: (sech°x)/1+ sin? if y = dx dy Find tanh°x

A: Given:-       To find:- dy/dx

Q: sin3x dx 1+cos3x х dx x+4

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Q: S sec(Vx) tan(/x)dx II 2 sin x 3 |cosx

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Q: ∫ 2cos^2(x)sin(3x)dx

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Q: 6. S 2sin´x sin(2x) dx

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Q: 3. S. 2 cotx-3 sin²x dx sin x 4. (2x2+x dx x+1

A:

Q: (b) S tan3 x sec² x dx c) S sin³x cos5 x dx

A: The explanation of the solution is :

Q: 4. X sin (x) dx VI-X 1-メ-

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

Q: | – (3x² sin x + 2) dx In r dx Je

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

Q: S(sinx + cos x)² dx

A: To find: The integral of . Formula used: Algebraic formula: Trigonometric formula: Integration…

Q: SHE 1+ (In x)' = dx = (sec x) = f sin x dx = [cos.x dx = (arctan x)': = [f(x) g(x)] = ==dx =

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Q: 5. . sin 3x dx

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Q: Find for y = 5x sin x+ 10x cos x- 10 sin x. dx Dikdörtg

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Q: 3. S sin*2x cos$2x dx

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: S sin x In(1 + sin x) dx

A:

Q: 6. S sin² x csc² 2 x dx

A: We have to solve

Q: = (a) Evaluate S cosx sinx V1 – sin4x dx. -

A: Given∫cosxsinx1-sin4xdx

Q: (#6) S sin³ (x)dx =

A: Given  Rewrite  sin3x=  sin2x * sinx  Use Pythagorean identity sin2x + cos2x=1

Q: 2 | (sin³x cos x + sinxcosx)dx 7/2 π

A:

Q: 1. cos x sin“ x dx

A:

Q: Ssin'x cosde 3. Sin'x cos dx

A: Given: ∫ sin3(x)  cos(x) dx We have to evaluate the given integral.

Q: 3. S sin x sec®x dx

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Q: 10. sin x cos x dx

A: Given:- ∫ sin3(x) cos5(x) dx

Q: 9. sin“ x cos“ x dx

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Q: 3. S In(cos x) tan x dx

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Q: 2, " cos“(x)sin*(x)dx

A: To find : ∫0π2cos6xsin4xdx

Q: Find integral.

A: Here given integration I=∫cos x-4/3sin x dx Consider cos x=t-sin x dx=dt

Q: Evaluate the integral.

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Q: ∫√1 - sin^2 x dx

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Q: Cos 4x S cos 2x-sin 2x dx

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: 3 sin x 1. S- dx 1+cosx

A:

Q: S sin(4 + 5x) cos (5x – 4)dx

A: From the given problem: I=∫sin4+5xcos5x-4dx As we know that the trigonometric identity:…

Q: S sin (3x) 1+cos² (3x) dx

A: Given integral ∫sin(3x)1+cos2(3x)dx The objective is to evaluate the integral.

Q: Find cos x + sin 2x dx 19. sin x

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Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: 1) Given ddx3sin3tanx2+3x2. Find value of differentiation of the function. 2) Given ddxx2+1cot…

Q: o. S÷dx 10. sin 3x 11. S- 1-cos 3x

A: As per your request we solved question no. 10 & 11 only

Q: cos(In x) dx

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Q: 5. S sin5x cos 3x dx

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Q: Sõ sin“ 3x cos 3x dx

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Q: FIND dy/dx FOR EACH FUNCTION. 1. y = (tanx + sinx)-3

A: 1). Given y=tanx+sinx-3. To find: dydx Solution: Power rule of differentiation states that:…

Q: 1. cos x sin* x dx

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Q: 6. sin x cos°x dx

A: We need to evaluate integral.

Q: cos x dx Sx x sinx cosx dx 4. 3.

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Q: 30. sin x cos(cos x) dx

A: The given integral is ∫sin x coscos x dx. Let u=cos x. Then, du=-sin x dx.

Q: Find ∫ sin 2x/( 2 + cos x) dx.

A: The integral is ∫sin2x2+cosxdx.

Q: S sin(3x)cos(2x)dx

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Q: a. dx 1+ sin(ax)

A: