2nS F(s) (s² + n²)² %3D (3) Find the inverse L. T by Convolution Integral of

Q: x2-x-8 What is the indefinite integral of dx ? (2x – 3 )(x² + 2x + 2)

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Q: Vx² – 25 | The result of the integral in 6 , given dx is 5 tan 6– 50 +C

A: ∫1x2+a2dx  = 1atan-1xa +C According to our guidelines we are supposed to answer only the first…

Q: -5t +9 dt VEI Evaluate the definite integral given above. Enter your answer as an exact fraction if…

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Q: Q.1 Find the integral of f 2 /x+ e* ) dx. - 3

A: We will find the integral as following.

Q: dx 6. Evaluate the improper integral. x² +3x+ 2

A:

Q: Q2:Solve the integrals as in below: a²+b² 1- j dy 2- S dy e -0.5 2y 3 1 3- (7-V5y ²)² . e dy 4- dy…

A: 2 . ∫0∞ e-(y2-3y)a2+b2  dy  = e-(y2-3y)a2+b2.(y33-3y22) limits from 0 to ∞ Now e-(y2-3y)a2+b2…

Q: 20. Evaluate.d(x³ sinh(Inx)) O a. 2x3 − x O b. 2x² O C. 4x²-x O d. 2x2 − x

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Q: b 1+ e2x Evaluate the integral. ex xp 1 + e2x

A: Given that: ∫01ex1+e2xdx

Q: Q3: Find the integral for the following functions: - 6 dx 1) 2 x+2

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Q: Find the integral of s(2i - 2) dz x) dx N/3

A: ∫xndx=xn+1n+1+C

Q: ind the integration below: of the last two digits of y

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Q: dx. Evaluate the integral / (x² + 1)(^ · x – 2) -

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Q: 5x (x² +a) dx is In +eTan-1X The resulting integral of + C, where a, b, d, and e are integers. What…

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Q: 16 -3t – 3 What is the value of the definite integral dt? Enter your answer as an exact fraction if…

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Q: express L−1[F(s)G(s)] in terms of a convolution integral.

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Q: -3 2e4 Evaluate the given integral: Jo 1+e2x dx.

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Q: Q2 ) Evaluate the integral S*9/x7 + y²) dxdy.

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Q: B. Evaluate the following integrals: x-9 1) S- dx x2+3x-10

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Q: Q3: Find the integral for the following functions: - 2) ſ e3se c(x), sec(x). tan(x) dx

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Q: Solve the ODE by y Integration a. = 0

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Q: +00 dx II. Evaluate the improper integral x(In x)²

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Q: -1 2x Evaluate the integral dx = 0 x*+1

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Q: -dx. Q5. Evaluate the integral / Tx² + 1)(X · x – 2)

A: Given  α=5 ,β=8 ,γ=13,λ=2 ,θ=5 , η=3 ,ω=2 . To rewrite the given integration by using α=5 and λ=2 .…

Q: Q5) Evaluate the following integral by using Partial fractions Method: x- x = t + 1). (x – 1)² dx…

A: Given the integral is y=∫x3-xx2+1x-12dx

Q: Q2/Find the value of the integral dx 1+x² by using simpson method (n = 6)? 3

A: Find out the value of the integral using the simpson 1/3 method.

Q: Solve the Indefinite Integral. xe²t S dx (2x+1)² A [1-21] +0 e2x 2x C 4 2x+1 B. 2-2(22+1) + C 4 C.…

A: SOLUTION-

Q: Evaluate the integral. dx (х — 9)(х — 18) (Use symbolic notation and fractions where needed. Use C…

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Q: dx Q24: Find the integral of f (x+1)(x2+1)

A: The given integral is ∫1x+1x2+1dx.

Q: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

Q: dx 4. Find the integral 2-1)3 a. In (**1) b. In () - + C x-1 2x2-2 + C x-1. 2x2-2 c. - In -+ C 2x2-2…

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Q: -5e 1 Evaluate the integral: dx. 1 x A. - - 1 5e B. 1+ In 5 C. 0 D.00

A: We have to evaluate to integrate

Q: Evaluate the integral. dx (х — 13)(х — 23) (Use symbolic notation and fractions where needed. Use C…

A: Explained below

Q: Q2/Evaluate the integral: 1.57 9-x2 dy dx x, by changing the order of integration.

A: The integration order can be changed by changing the inner integral to outer and outer integral to…

Q: Q3/ a) find the integral f 2* * cos2* dx dx b) the integral J e2x+1

A: Explanation of the answer is as follows

Q: Find the value of the improper integral or state that it is divergent. (If it is divergent, enter…

A: We will calculate the definite integral using basic definite integral properties and if we get an…

Q: Q4. Find the integral of the following functions x dx (x-1)(x2+2x+1)

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Q: dx The integral can be rewritten as VT - x 00 lim (-2+ v1– 3) S--00 lim (-1+2v1– s) s--00 B lim (-2+…

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Q: n/4 3x Approximate the integral e "sin(2x)dx using both Simpson's rules with n = п/12

A: Given: I=∫0π4e3xsin2xdxn=π12

Q: Q(1) Find the integral of Vx² – 16 dx

A: Use substitution method to find its integration.

Q: Find the integral +C 1 dx x² – 16

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Q: Q3: Find the integral for the following functions: - dx 1)) T2-2x+1 Vx2-2x+1

A: we want to find the integral for given function

Q: df Use integration to find f(4), if = dx O -26.667 O -19.667 O 26.667 O 30.333 5x2, and f(1) = 7.

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Q: Find the Particular integral of the equation (D² + 2DD' + D² )z = e®-y

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Q: dy y(y²+1)

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Q: Sõlve the integral - In 3 x'e-*dx 2.

A: The given integral ∫0ln3x2e-xdx can be evaluated as, ∫x2e-xdx=x2×∫e-xdx-∫ddxx2×∫e-xdxdx+C…

Q: Q2/Find the value of the integral ²: by using simpson method (n = 6)? dx 1+x²

A: Let's solve given integration by using simpson 1/3 method.

Q: 2t + 1 What is the indefinite integral of dt t3 -8t + 21t – 18

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Q: dx Evaluate the improper integral (x-3)2

A: Given query is to find the value of the integral

Q: 4tan -(x) 00 The integral dr is equal to 1+x² O A. 472. O B. 272. Oc. 2 O D. . E. None of the given…

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Q: = "+1 + C. 2. The power rule for integrals is x" dx a. Evaluate f da = fx2dx. n+1* 1 b. What goes…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.