9 – 4x² -da | Evaluate: (A) f (x) = V9 – 4x² + 2 sin () +C B None of the given choices f (x) = /9 – 4x² + 2x sin¯' (5) - c. +C (D f (x) = 9 – 4x² – 2 sin (4) +C 9 – 4x² – 2x sin () -1 | E f (x) = %3D

Q: Evaluate / 4 x cos(x)dx Ox sin(x) – 4 cos(x) + c 04 sin(x) + 4 x cos(x) + c 04 (x sin(x) + cos(x)) +…

A:

Q: Differentiate g(x) = (In(x² + 1) – tan-ª(6x))10

A:

Q: Prove 3sin x-45 in ³x = Sin (3x)

A: To prove that,3 sinx-4 sin3x=sin3x

Q: 4 sin x f(x) 2 + cos x

A:

Q: Suppose S (x) =sin(3x – 2). Evaluate: /f(x) dr A - 3cos(3x – 2) + C (A) (B ® --cos(3r – 2) + C ©…

A: Given, f(x) = sin3x-2To evaluate:∫f(x) dx This can be done as follows:

Q: C. h(x) = 2x² sin(x) - x sin(x) – 15 sin(x); ONLY product rule, NO power rule.

A: Given; h(x) = 2x2sin(x) - xsin(x) - 15 sin(x)

Q: g(æ) + x sin(g(x)) = x? – 25 and g(5) = 0, then g (5):

A:

Q: If f(x) = sin x, show that f(x + h) – f(x) = sin x cos h – 1 sin h + cos X h h

A:

Q: Find L {f(t)} if f(t) = cos 5t + sin 2t

A:

Q: Evaluate / 3 x sin(x)dx 03 (sin(x) – x cos(x)) + c Osin(x) – x cos(x) + c 03 x sin(x) + 3 cos(x) + c…

A:

Q: dx x4+16 Įtan-( x2 + c 4

A: Given that, ∫xx4+16dx

Q: (b) Evaluate A () a().

A: We have to evaluate  Delta( Sinx / x2 + 2x - 1 ) which is the laplacian or double derivative of the…

Q: Evaluate f dx V4 √4x²

A: This we directly computed by the rule of integration that is there is no any dificulty to find the…

Q: b) Differentiate the function below with respect to x. f(x) = (2+3x) sin (8 + 2x) Note: In Text mode…

A: The given function is f(x)=-2+3xsin8+2x. To Find: Derivative of above function.

Q: 1 sin(x) (D²+1)³

A:

Q: Evaluate / 4x cos(x)dx

A:

Q: QUESTION 4 Differentiate a) e8xcosx b) lnx sinx

A:

Q: Determine f(x) so that cos(In x) f(x) dx = sin(In²x) + C

A: Option B

Q: If h(x) = In 2x+8 4 x 3 sin x find h'(x).

A: Given :- To find :-

Q: ,1 x² - 4x⁹+ A) True B False sin(x) (1+x²)² |dx=0

A:

Q: sin(2x) = - 1/2 for 0 ≤ x ≤ 2pi

A: Given query is to find the solution for the x.

Q: QIA: Find the differential equation which its solution is y A,e* + A2xe*

A:

Q: [²(x². x7-4x⁹+ (A) True B) False sin(x) (1+x²)² dx=0

A: The given integral is ∫-11x7-4x9+sinx1+x22dx. We have to evaluate the given integral.

Q: (v sin' 2) dn sin ædy

A: This is a question of exactness, non homogeneous differential equation.

Q: tan(x) – cos²(x) dx Evaluate: cos(x) A sec(x) -sin (х) +с B B sec(x) + sin(x) + C © sin(x) – sec(x)…

A: We can find the integration as below