If ſ²₁ f (x) dx = 3 and ²₁ g(x)dx = 8, find §²₁₂[4ƒ(x) — 2g(x)]dx -1 -1

Q: If f(x) is even and 5 [₁(f(x) - f(x) 8) dx = 8, find -5 5 [²³F(x) f(x) dx.

A: ∫-55fx-8dx=8 ∫-55fxdx-∫-558dx=8 ∫-55fxdx-8∫-55dx=8 As, ∫dx=x ∫-55fxdx-85--5=8 ∫-55fxdx-8×10=8…

Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: (c) [ √4x² X -dx

A: The given integration is

Q: flx)=x =X-5 (x)= Find .f)

A: Here, the given function is: f(x)=x-5, g(x)=x2

Q: x +1 dx x(x² + 4)' (f) | #(2² + 4) ع و ش

A:

Q: Suppose that f:R → R is a continuous odd function, such that 1 f(x) dx = 5 and -1 | f(x) f(x) dx =…

A:

Q: If f(x) dx = (2x – 14)12 + C, find f(x). %3D f(x) %3D

A:

Q: Find (|x+1|dx -3

A:

Q: ex - 32 √x +x 22

A:

Q: What is the missing value?

A: It is given that, ddxsech-13x.

Q: (In(æ)) -dx; 1

A: I=∫1eln(x)4xdx Now substitute:   ln(x)=t

Q: Let f (x) = x - 1 and g (x) = x² (x + 1). Evaluate Se 3 + dx f(x) g(x) You must show all steps.

A: Integration of e-3x+f(x)/g(x)Where f(x)=x-1,  g(x)=x2(x+1)