(12) Evaluate the following 1 dx (2) √ ₁ + √2+ cx 1+√√2x (b)f (Inx) dx X (c) x-1 x+1 dx

Q: -3(4x + 3)+ 4(6x+1) = 43 %3D

A:

Q: a. Let f(x) = (-4x² + 3) (-4x² − 3). - Then f'(x) = b. Let g(x) = 2√√x + 3 x4 +2x² Then g'(x) Hint:…

A:

Q: Find the derivate of this function]: 2 a) f(x) = 4x² + x + 9 at -5 f(-5) = b) f(x) = √√√x at 16 F'…

A:

Q: (c) f(x) = √√x − 6, x ≥ 6. f-¹(x) =

A: given  f(x)=x-6  ,  x≥6for finding inverse steps are (1) put y=f(x)

Q: 10 16.⁰ FIX Find f(x) dx if = 8 x for x < 8 for x ≥ 8

A:

Q: (c) [ √4x² X -dx

A: The given integration is

Q: 2 [+√²-1)dx (4) »

A:

Q: Find 9 JBS if [3f (x) - g (x)] dx = i 9 9 frode = 2 and 1200dx = 50 [80 (x) dx g (x)

A:

Q: √√x²+2x dx= Select one: a. None of them b. (x + 1)√x² + 2x - 1 In ( x + 1 +√x²+2x() + C C. 1 +In 1 1…

A: The integral we are trying to solve is ∫√(x²+2x) dx. This is a non-standard integral and requires…

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

A:

Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

A:

Q: 1 (x2+2x+ 1) dx -1 16 3 16 0 8 3

A: Given:The integral is

Q: Assume the following: f(x) dx ce. ƒ(2) dx = 2, ª f(z) dx = 3, 9(z) dz = -1, and + [°²9(2) ² = 2, […

A:

Q: f(x) = Vxe-x/2 is inc decreacing

A: