Q 2. Evaluate the following integrals S(1) = [ (3r° +1)8(1 +4) di 1.

Q: y"+y' - 2y = x2

A: Solution :-

Q: 6. Evaluate the following real integrals by residue theorem 3 .2T Sín O S. I= J do a+ Coso ans: 2(a-…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Is g = {(x, y) ∈ [−5, 5] × R : x^2 + y^2 = 25} a function from [−5, 5] to R.

A:

Q: dx d the integral 47 J + 48 1 а. 2-48 +c 47 1 b. 48x - 48 +c 47 c No correct answer

A: Solution of the problem as follows

Q: If (3- f(x)) dx =7 then the value of the integral f(x) dx is given by O a. -10 O b. 7 O c.5 O d. -3

A: given that ∫263-fx dx=7find ∫26fx dx

Q: Evaluate the integral I = +2√3 4-x 4+x dx. 1. I = 2. I = 3. I = 4. I = 213 6. I = 4 37 43 2 3 π+2 2…

A: The given integral

Q: Q3. Evaluate the following two integrals using both the simple trapezoidal method and once using…

A: We will use the knowledge of the simple trapezoidal method and Simpson's method.

Q: Q I find integrals 3-2X 2 +4X dx

A:

Q: s evaluate e of 1. The

A:

Q: -9 8et dt

A: I=∫−948etdt

Q: 4. If the integral value of | f (x)dx = 4 and | f(x)dx =-3 then the value of | f(x)dx is -1 -2 а. —3…

A: It is given that  ∫-14fxdx=4∫-24fxdx=-3

Q: → (+,-) (- -) J (4)

A:

Q: Evaluate the integral 32 3 √2³ (2² (x² − 2) dx =x²-2. by making the substitution u = x² + C

A: We know, ∫xndx= xn+1/(n+1) +C, C is a constant and for any real number n. Let I=∫x³(x⁴-2)³²dx

Q: 2e- ii. approximate the definite integral J01 T4– x² r0.4 dx correct to 4 decimal Jo.1 x/4 – x² |…

A:

Q: Find the indefinite integral for the function (2y — 9)-5 dy = - (2y - 9)-5dy AY

A:

Q: What formula would be used to calculate the right rectangle approximation of (2x + 2)dx using five…

A: Given : f(x) = 2x +2 a = 0  b = 2  n = 5 ( five subinterval)

Q: 17 Given that f(x)dx : find 7 | f(2)dz = No decimal entries allowed.

A: We have to find

Q: 1 6t dt i. e6t – 1

A: # we are entitled to solve one question at time, please resubmit the other if you wish to get it…