• sin(2x)ln(sin²x+1) dx iv. (sin?x+1)

Q: A-f cos (x)sin³(x)dx e*cosh (3x) B-J cosh(x)+sinh(x)

A: Here we use use substitution method to evaluate the given integral.

Q: cos-1 3x dx 3 – 1 – 9x2 * tan-1x dx 1+ x2 4 - n/2 5 –

A:

Q: COs x 10. S V4-sin2 x

A:

Q: Q2 : Evaluate the integral sin x dx 1-sin² x

A: To find the integrations.

Q: {2xy cosx2 - 2xy + 1}dx + {sinx2 - x2 + 3}dy = 0

A: Simply rearrange the given differential equation and integrate to get the solution.

Q: Evaluate the integral.

A:

Q: Find integral.

A: We can use substitution technique of integration. In The substitution technique of integration , we…

Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

A:

Q: sin x + cos x dx V1 + sin 2x

A: Given {sin x +cos x   dx   [1+sin 2 x] We have to evaluate the given integral

Q: 4 sin-lx dx X.

A:

Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: 4. sin2xcosx + sin x 1 xE[-27, Zn]

A:

Q: (sin'x-4)dx- tanx dy=

A:

Q: cos x + sin² x + 1 dx cos² x (sin² x + 1)

A:

Q: sin x dx cos2 х

A: To integrate: ∫sinx dxcos2x Solution: Let t=cosx Differentiating both sides, we get…

Q: sin-1 Vx 7. S Vx — х2 dx

A:

Q: π/2 sin3 (4 ) αθ - π/2

A: To evaluate the following integrals

Q: sin x dx 2- cos²x CoS

A:

Q: 3. S- dx 1-sin'x

A:

Q: ( sin (In 2x) - cos (in 2x))? +x dx 2x

A: Let's find.

Q: sin (2x) dx 2. ( (sin(In x) + cos(In x)]² dx xp: 3x/10 In(3x) – (1In(3x))²

A:

Q: | e3* sin(2x)dx

A:

Q: 4 cos (4x)(-4 sin (4x))dx. Evaluate the integral 4 cos (4x)(- 4 sin (4x))dx%3D

A:

Q: S sin-1 3x dx

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Q: (x² +1)Z. tan-1(sin 2x) Q2/ B/Find dy if у 3 dx (x2 +4)3 . sin-32x

A:

Q: e-V2x sinh x sin x x dx

A:

Q: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: 9) | sin´x-cos'x dx 10) [ cor"/x - dx

A: Solve: 9)  ∫sin4xcos3xdx10) ∫cot2xxdx

Q: (x²–1)dx S (x++3x² +1)[tan-1 x2-1 aluation of is

A: Given integral is I=∫x2-1x4+3x2+1tan-1x2+1xdx To evaluate I Now, dividing the numerator and…

Q: | sin´x-cos²x dx

A:

Q: (3 sin(2x) dx 4 sin(x)

A:

Q: sin x (1- cosx) dx (1– cos² x)

A: To evaluate the integral: ∫sinx1-cosx1-cos2xdx Solution: Evaluating the given integral:…

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: sin x dx 2+ cos x 4. - T

A:

Q: 4-S e²*sinx dx

A: We have to find the integration of the given function.

Q: ans 늘 sin ()+c 19 -4x² teinx dx I+ x2 dx ans: į sini'Ln'xte 3. sečxdx ensesin 3tanx 15-9tañx dx

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: | sin x (3cos*)dx 2:

A:

Q: cos (5x)cos (3x) dx cosh' (In x) sinh (In x) (A) (8) - (C) 0 (D) 2 1

A:

Q: sin x dx + x cos² x 5.

A: Integral of a function is the anti derivative of the function, meaning area of the graph of the…

Q: ∫ sin3 (x / 2) cos (x / 4) dx

A:

Q: sin x cos x dx 4

A: We have to evaluate the given integral.

Q: cos x sin x dx 4. sin 2x cos 2x dx 5. cos x sin* x dx 6. sin 3x dx 7. sin³ x cos? x dx 8. 3.

A:

Q: •π * (sin³ x)√1 + cos x dx 2

A:

Q: integral cos -1 x dx

A:

Q: 3e" - 2 sec x tan x + cos x - 3 dx 1+x?

A: Given:

Q: dx |2 sin 2 sin x — сoS X

A: I have appended the formula used in the solution part

Q: Cos x dx In x (sin x) () - dæ. (In x)²

A: We have to find the value of the integral : ∫cos(x)ln(x)dx-∫sin(x)1xln(x)2dx

Q: V1+ sin (x5) e-y 2(Vx- 1) f-- cos {sin(2x*)} x-2 x2+3x

A:

Q: integral sin -1 x dx

A: Given Data The integral is ꭍsin-1xdx.   Let,