f(x) = |x|, −π

Q: [3 – e -kl – cos x + log(x²)]dx = 0

A: Given,∫a5 3-e-x-cos x+log x2 dx

Q: Var(X)=E([X-Hx])² صواب İhi

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: -= In[F(x)]+C. What is f(3) if C= 0? (x+x³) (x Tan-'x+1) A 3 B 6. 3 D V3 6 . + + -1/5

A:

Q: 12 If [" f(x) dx = 19 and ' [₁ f(x) dx [R²F(x) f(x) dx = 4, find the following.

A: We can answer the question as below using the properties of definite integral.

Q: Q4. (a) Evaluate the definite integrals: (i) ſ(2 – 5/1 – x² }tx_ (ii) [sin 2x cos 2x dx (iv) [":…

A:

Q: J dx 4+x²

A: Given,            ∫14+x2dx

Q: du LI+ )(1 + tan"! v) 19. (1 + v²)(1 + tan v)

A: Since you have asked multiple question, As our policy we will solve the first question for you. If…

Q: 3 Find f(x) if f'(x) = and f = 1. %3D O A. -4 X- +13 4* B. -4 X- -4+C OC. -4 OD. х + 13 4/5

A: Given,

Q: [4] S (x + )´ dx [5] S cos²(2x)dx X. V1+x3 [6] S- dx r-2

A: To evaluate the integration of the following.

Q: dx r0 dx dx = 0 49. + x1/3 -1 x!/3

A:

Q: d. y'\ + у %3D0

A:

Q: Please show step-by-step solution!

A: Option (e) is the correct option. Use the property of the exponents to rearrange f (x). Then…

Q: 7. 1 x lnx dx 8. f(x + 1)(2x - 1) dx

A: 7.∫1x lnxdx = ∫1 lnx. 1xdxLet, lnx= y ⇒1xdx = dySubstitute the corresponding values in the…

Q: x3/8 |dx (assume x > 0) 4. +

A: ∫xndx=xn+1n+1+C∫1xdx=lnx+C∫exdx=ex+C

Q: f(t) = 2t2 - 5 sin(3t) %3D L{f(t)}

A:

Q: 23x+3+42x-1 6. S dx 2x+3 In(sin x) 7. S- tan x | Voty csc' y dy 8. dx 9. x log 10 x e" dr 1 + e" 10.…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: (j) [e³ sin 2rdr

A:

Q: 9. The value of ¹₁ O True False [Tn (x)]² dx = 0, for each Chebyshev polynomial T₁(x), n > 0.

A:

Q: 1/e -1/2 S 10x*-2(1-x²). exact value of dx 1/2

A: Given that

Q: 20 Find f(3x + 2)dx if f(x)dx = 2. 3 11 Enter the exact answer. f(3x + 2)dx = 3

A: Given that, ∫1120f(x)dx=2 Now, we have to find the value of the integral ∫36f(3x+2)dx let,…

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

A: Given: ∫dx(x+x3)(xtan-1x+1)=lnF(x)+C    ...........(1)We have to find F3 if C=0

Q: Find and show the work for 2 (x+3)(3x+2) dx. (a) (b) SF (sin(2x) – cos x) dx.

A:

Q: Compute 0 O-1.5 O-1 1.5 01 L₂ f(x -2 f(x) dx.

A:

Q: Suppose that diastolic blood pressure readings of adult males have a bell-shaped distribution with a…

A:

Q: tan (x) + 1 dx =?

A:

Q: dx - = In[F(x)]+C. What is F(3) if C= 0? For %3D (x+x³) (x Tan-!x+1) -1 A +

A:

Q: Suppose F(x) is between 4 and 8 for x in [3,12]. What is the largest that · 12 L" F (x) dx can be?

A: given that function F(x) between 4 and 8 for x in [3, 12] we have to find the largest value of…