120 Calculate g(x) dx = -2 1²₁ (3 f(x) dx = 6 f(x)de = 17 -1 [₁9(x) dx = -9 (3 f(x) - 5g(x)) dx -

Q: Given that (a) (b) Prx [ FLX f(x) dx = 3 and f(x) dx 2 [²(x [²Px) dx - [Px) dx f(x) f(x) f(x) dx =…

A:

Q: If Sdx = s ( + g(x)dx, then A + f 9(2) dx is equal to %3D

A: ∫x2-1x3+xdx To break the fraction we use partial fractions…

Q: 20 14 ·b [." 1(2) dz - " 1(2) de - [* 1(2). f(x) dx f(x) dx f(x) dx a

A:

Q: Find the derivative. d. (In (9x? + 4)) dx di (In (9x? + 4)) =| dx

A: Solution:To find:ddx ln (9x2+4)=?Formula:ddx(log x)=1xddx(xn)=nxn-1

Q: Analyze the graph of f (x) = ln(x2 + 2x + 3).

A: The given function is f(x)=lnx2+2x+3

Q: Find f(x) dx = -3.5 -3.5 and 2f(x) – 3 dx = -1

A: Given: ∫-61.5fx=2∫-6-3.5fx=3∫-11.5fx=4

Q: Simplify erf (x¹) dx

A: Simplify ddxerfx4

Q: = (9,4, 5) w = (10, 10, 10) Find the cosine of the angle between v and w. cos 0 =

A:

Q: d (7 ln(x)) dx Find

A: Find

Q: Find 4 [3f (x) – g(x)]dx = i if 4 4 |r)dx = 4 and g(x)dx = 20

A: This question is related to definite integration, we will solve it using given information.

Q: (d) d.x (x-3)2/3 1.

A: The given question is from the topic of Integrals

Q: Find f(x)dxif 5 | f(x)dx = -8 and / f(x)dx = 3 6. | f(x)dx = i

A: Solve the following

Q: –1/2 | (x (x² + x) + 4)dx.

A: Given,            ∫04x-1/2x2 + x + 4 dx

Q: If ["f(x) dx = f(x) dx = 37 and id ["g(x) dx = 12, find [3f(x) + 4g(x)] dx.

A:

Q: 17 [," Farde - [." Farde - [." Her de f(x) dx f(x) dx = = f(x) dx

A: given that  ∫317f(x)dx-∫311f(x)dx = ∫abf(x) dxthen we have to find value of  a and b   since we know…

Q: -(X-3) e dx

A:

Q: Calculate -8 [ f(x)dx -10 g(x) dx = 11 -10 f¹⁰ f(x)dx = -1 f(x)dx= -18 -10 g(x) dx = 16 (2) ² (²…

A:

Q: ∫ln(x)/x dx

A: GIven : ∫ln(x)xdx

Q: Find [2f(x) – g(x)]dx = i if f(x)dx = 4 and g(x)dx = 50

A:

Q: d/dx of F(x)=2X-21

A: ddx(2x-21)=?

Q: [2] (a) fe In (x²) dx (b)²x² In(x) dx

A:

Q: Find | [3f(x) – g(x)]dx : i if 6 f(x)dx 2 and g(x)dx = 30 %3D %3D

A: Given: I=∫163fx-gxdx And ∫16fxdx=2 ; ∫16gxdx=30 We know that; the sum rule: ∫fx±gxdx=∫fxdxdx±∫gxdx…

Q: 9 If Ef fºrex 4 f(x) dx = 33 and 9 √³⁹(x) g(x) dx = 14, find *9 fºc [4f(x) + 5g(x)] dx.

A: To find out the value of the given integration.

Q: | [10f(x) – g(x)]dx if Find 5 5 f(x)dx = 7 and g(x)dx = 6. %3D | [10f(x) – g(x)]dx = i

A:

Q: 10. ir f(x)dx 5 and g(x)dx =-1, then (a) f(x) 2 g(x) r + g(x)) dx = 2 (e) f(x). g(x)dx = -5 (b) (d)…

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Q: 14 Find [3f(x) – g(x)]dx if 14 14 | f(x)dx = 3 and g(x)dx = 9.

A: Topic = Integration

Q: e (5) Į 1 dx xVln x

A:

Q: Find [9f(x) – g(x)]dx = i if f(x)dx = 2 and g(x)dx = 30

A:

Q: If f(x)f(x) is the slope of a trail at a distance xx miles from the start of the trail, what does…

A: If f(x) is the slope of a trail at a distance x miles from the start of the trail, what does…