1 -sin(2x)% = (D²-1 -1 sin(2x) 125 O ibs

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

A:

Q: 1. -5 cosh x 2+3sinh x dx

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

Q: Solve indefinite integral ∫ cos(πx)/sin^3(πx) dx

A:

Q: sinhx dx 1+ coshx ) A 1+ coshx B (1+coshx)? (1+coshx)² D 1+ coshx

A: We have to find

Q: (x-7) dx 19. SJ5-4x-x2

A: Answer is following.

Q: sin(x) 19. Evaluate -dxdy by changing the limits of integration appropriately.

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Q: 6. S 2sin´x sin(2x) dx

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Q: Solve 4 sin 2x S1₁= 8 4 -1 -¹x³ + x²-x² +2 dx

A:

Q: x sin 3x² dx

A: Our Aim is to integrate the following integral given below:-∫x sin (3x2) dx -(i)

Q: dx (x – 2)Vx² – 4x +3 dx sin-1xV1- x2 L. cos(sec xVx2 – 1 -x) dx 2/V3

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Q: Integrate (sin1/2)(x)dx

A: The given integral is ,∫sin12x dx=∫sinx2  dx

Q: csch (2 sin 2x)dx 1. V1-4x

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Q: 3. dx (sinh(2xV1+x du

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Q: 3- Sin4x dx S 3-Sin4x dx ノo

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Q: 4 sin-lx dx X.

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Q: Find ∫e^(2x)sin(2x)dx

A: Given: ∫e2xsin(2x)dx

Q: 3 ſ dx – S sin²5xdx

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Q: 2 S tan"(3x 1)sec (3x 1)dx - |

A:

Q: 6. S sin² x csc² 2 x dx

A: We have to solve

Q: 7. S (x-1+cosx) cos2(sinx+lnx)

A: We use substitution method to solve this integration

Q: (#6) S sin³ (x)dx =

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

Q: x sin(2x2)dx

A: We have to find the integral.

Q: π/2 sin3 (4 ) αθ - π/2

A: To evaluate the following integrals

Q: 2x+5 dx = AV7- 6x - x2 + B sin - (**)- 1. Vア-6xーx2 +C

A: ∫2x+57-6x-x2

Q: 1. [e-2x sin 2x dx

A: As per the instruction, we will be answering only the first one. For (1),      ∫…

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

A:

Q: dx 6. [- xIn x sin 5tdt 7. V1+ cos 5t

A: Given that the integral ∫dxxln2x. Give suitable substitution to simplify the integral. Let u=lnx,…

Q: | e3* sin(2x)dx

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Q: h(x)= sin¯' 3x– 6x sec x² -1

A: The given function is  h(x)=sin-13x-6xsec-1x2

Q: S sin-1 3x dx

A:

Q: S(sec x tan x + 10xº)dx %3|

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Q: -1 Cosh-1 5x sinh 4x.

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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: Find the General and Particular solution of = -8 sin 4x ; y = 6 when x = 0 %3! dx

A: We will solve it by variable separable form Consider dydx = -8 sin (4x)dy = -8 sin(4x) dx On…

Q: 5. Ò sin(x- )dx

A:

Q: /x[cosh?(2x²) – sinh²(2x²) ]dx is equal to

A: solution :let…

Q: tan 2x dx 2. S (3+ln cos 2x)6

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Q: 5: - S cos(lnx).dx

A:

Q: Sih X pronf:, sin1x) cosinx)dx Sin (1-h)X

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Q: x) + 3x + 6)(sin(2x)) · dx

A: To evaluate the given integral using integral by parts.

Q: /4 g- x sin x dx

A: Given integral is ∫0π4x sin(x)dx So here f(x) = x sin(x) As π4 ≈ 0.785 Let n = 5  => h = 0.157…

Q: 33. — Зх e - 3x sin 5x dx

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

Q: 4-S e²*sinx dx

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

Q: SIV2 2x sin-(x²)dx 1//2 1

A: the given integral is: we have to evaluate the given integral.

Q: 5. S sinxtanx-cosxtanx dx sinxsecx(sinx+cosx)-5

A: Dear student, as per our rule we can only solve one question in one session. Please post the other…

Q: S sin(3x + 5) sin (4x – 7)dx

A:

Q: 1- S 9-4x2 dx 2 - x tan- x dx

A: 1.Given integral,               ∫9-x2xdx

Q: 4. c) Integrate x² sin(4x)dx.

A:

Q: -5x sin(2x) dx

A: Consider the given integral