b) [F(x) then find f(x). If 3 In(x)/ sin(3x) − 3e³ + x² + 3. - f(x)dx= 3 ln([x]) + 3x + C

Q: dx -= In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) A + - B 6. + 3 D + 6 + -15 -15 -15

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Q: Let f(x) = (sin(x))*. Find the value of (a) 1 (b) 2 (c) 2 (d) 2 (e) 0

A: The given function is fx=sinxx. To find the value of f'π2, first take the logarithmic of fx=sinxx on…

Q: Use the product rule to differentiate the function h, where a and b are real numbers. h(x) = e¯ax…

A: According to product rule, if f(x)=u(x)*v*x) then f’(x)=u(x)*v’(x)+v(x)*u(x).

Q: Function Decomposition: Find functions f and g such that fog(x) = sin (1). f(x) = g(x) =

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Q: 1. f (x² + 1)(x² + 3x) dx

A: To evaluate the given integral.∫x2+1x3+3x4dx

Q: sin(In()) dar.

A: We use integration by parts to find the value of the given integral. If f(x), and g(x)  are two real…

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

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Q: If 1 1. f(x)dx = n(x) - tan(x) - 4² + x² + 6x + 0 4e C 3 then find f(x)

A: We can find f(x) as below, by finding the derivative.

Q: Find f if f"(x) = 2 + cos(x), f(0) = -9, f(pi/2)=9 f(x) =

A: Solution of given question is followed by:

Q: Find the anditerivative of the function f with the given condition f(x) = 0.528 - 4.5 sin(6.5x) and…

A: To find the anti-derivative of the function  with the given condition. and

Q: Calculate h(x) if f(x) = x+3 and g(x) = sin(3x). Let h(x) = g(f(x)). What is h-1(x)? What is…

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Q: Determine f,(x); f(x) = cos(2x³ +n²)

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

A: Option B

Q: Differentiate the functions. a) f(x) = 2 – 5x + b) f(x) = e* + cosx c) f(x) = d) f(x) = (5 – x²)· e*

A: Suppose f and g are differentiable function .Then note the following results : The power rule of…

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A: Given- ∫-ππfxdx where fx=6x2                   -π≤x&lt;09sinx                 0≤x≤π To Find- The…

Q: (b) Evaluate In(x) dx 1

A: The given integral is divergent.

Q: If b) [ f(x)dx = = n(x)) = 1 then find f(x). = + = 2 x ² + 6x -tan(x) - 4e + + 6x + C

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Q: sin x sin (2x) simplifies to 2 cosx-f(x) where f(x) Submit Question

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