13T (b) sin-(sin(- -)) = %3D 11

Q: 22. Evaluate S tanºx sec² x dx

A:

Q: 4 sin“ dx

A:

Q: x – sin 2x -dx x + cos2x

A:

Q: dx sinh x - cosh x

A: To Evaluate: ∫dxsinhx-coshx Concept: i. ∫afxdx=a∫fxdxii. ∫exdx=ex+C

Q: s sin² (3x) cos³ (3x) dx Hint: cos²x = 1 - sin² x 07 sin²x = 1 - cos² x

A:

Q: 4 f sin(5 – 6x) sin (6x – 4)dx -

A: Here limit are not given so we integrate only without using of limit.

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

A:

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

A:

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

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

Q: (2x-ィ) cos 3x dx

A: The given function is, ∫(2x2-1) cos3x dx. Obtain the value of the integral ∫(2x2-1) cos3x dx.…

Q: = In(x² + y- sin sin-1 a2.. ||

A:

Q: 3- Sin4x dx S 3-Sin4x dx ノo

A:

Q: 4 sin-lx dx X.

A:

Q: 5. | cos(7x)dx

A:

Q: 16. 4x2 sinh (x³) tanh (x³) 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: 4. sin2xcosx + sin x 1 xE[-27, Zn]

A:

Q: (#6) S sin³ (x)dx =

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

Q: S sin3xsin 2x dx 3.

A:

Q: π/2 sin3 (4 ) αθ - π/2

A: To evaluate the following integrals

Q: 2- Solve the equation for x : Cosh x = Sinh x +1/2.

A: We need to find out the value of x. The given equation is Cosh x=Sinh x+12 Now,  Cosh x=ex+e-x2  and…

Q: 5. 4 (secx-1)(sec² x+secx+1) Sª cos² 2x-2 cos 2x+1 -dx

A: Indefinite integral is the process through which one can determine the function which on…

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

A: ∫2x+57-6x-x2

Q: | e3* sin(2x)dx

A:

Q: S sin-1 3x dx

A:

Q: 비신부 4 x² sin(2x) dx

A: Given : ∫827dxx-x3

Q: ∫√1 - sin^2 x dx

A:

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: 2x sin-1(x²)dx =

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

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

A:

Q: 8e cos 2x dx csc(x) sec(x)

A:

Q: Si cos°(3x)sin (3x) – cos (3x) sin°(3x) dx

A: First we common out cos7(3x) sin7(3x) and then apply the formula cos2(3x)-sin2(3x)=cos(6x)

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

A: Solve: 9)  ∫sin4xcos3xdx10) ∫cot2xxdx

Q: 6. Find [sinh(4x)sin(2x)dx

A: By using integration by part.

Q: 3. sin 8x cos 8x dx s 2x sin 2x dx cos

A:

Q: 71. cos³ 2x sin 2x dx

A:

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

A:

Q: 4:    Y = sin-1 2x 5:    Y = sinh-14x

A:

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

A:

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: x5-3 14. S4 cos (-3x + 2) dx

A:

Q: ∫cos(15x)cos(4x)dx

A: Integration and differentiation can be considered as inverses of each other. Integration is mainly…

Q: 4-S e²*sinx dx

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

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

A:

Q: 4 cos °x sin x dx 3x sin: 1/3

A:

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: 5. / x² sin 3x dx

A: We have to find the indefinite integral

Q: S sin 3x cos xdx

A: