Compute the following expressions for z= ye^x^2+xy^2

Q: Evaluate the integral.

A:

Q: ,2 2. 6+t dt

A:

Q: (In x)* Integrate: 1

A: Given,            ∫1eln x4xdx

Q: 5. Find the indefinite integral 6.x²dx (2x³ + 7)3/2

A: The solution for the above question is as shown below.

Q: Find the indefinite integral: 10sin 3x - 15 cos 2x + 6 e5x + C O 90sin 3x -60 cos 2x + 150 e5x + C…

A: 30∫cos3x+sin2x+e5xdx=30· ∫cos3xdx+∫sin2xdx+∫ e5xdx=30·…

Q: x³dx S 17. √(1-x²

A:

Q: Exercise 20. Compute the definite integral 1 3r - 5 (00

A:

Q: Find of z = In(xy)

A: Given,Z=ln(xy)differentiating both the sides partially w.r.t. x∂z∂x=1xyy1∂z∂x=1xagain differntiating…

Q: Find two z values so that 48% of the four decimal places, separated by a 0,0.

A: Given Data: Z is the standard normal distribution   P(-x<z<x)=0.48 P(z<x)=0.74

Q: Evaluate the integral. 1//3 2-1 tA - 1 8 dt

A:

Q: Evaluate the indefinite integral S(z -9-dz 를-9z + 듣 +C 4x4 중-9z + + C 222 - 9x + 7lnx³ + C - 7 9x -…

A: First we write each term using exponent

Q: Integrate from 0 to 2

A:

Q: 12 Integrate: ,V4 - z² + dr

A: The given function is 4-x2+x7+24-x2 We have to integrate this function over the interval -2, 2

Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.

Q: evaulate the indefinite integral  4x^3+2x^2+6x-5/(x^4-x^3)

A: Firstly, We factorize the denominator

Q: Consider the following Lp: Max Z =5.4 x, +6x2 Such that 4x, + 3 x, < 20, 000 (Hours available)…

A: The given LP problem is                      Max Z=5.4 x1+6x2subject to            4x1+3x2…

Q: Inn NTT <os 2. n=1

A:

Q: 6. Prove that 1 cosh(tanhx) : -1 <x < 1. V1- 12

A:

Q: Compute the following integral: / secʻ(5x) tan" (5x) de 1 (tan(5x))*+3 + C 1 а) 5R + 5 (tan(5x))*+1…

A: We can solve this by using some basic concept of integration as substitution method .

Q: Evaluate the integral. 4 5x dx -2

A:

Q: Evaluate the integral: Sen(1²2+3x-7) е dx A x² + 5x+In 3x-6|+C XZ B +5x+31n|x-2|+C 2 C x ²2+ = +…

A: On solving this we will get

Q: Solve for DE: separable DE

A:

Q: 9 In(z² – 1) dz

A: Given: ∫9lnx2-1dx

Q: By integration find the Fourier transform of Ax)=2r+1 _if þx|<1_and fx)=0 otherwise.

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: . Find the product of approximate numbers x, = 2.35 and x, = 20.3546 all of whose digits are valid.…

A:

Q: Compute ∫xsin(3x−2)dx.

A: Let the given

Q: evaluate the integral of " [(x^2)+1] / [(3x+1)^0.5] "

A: The given integral,        ∫x2+13x+1dx

Q: 2x + 2 x +1 in of Xト! ナイ

A:

Q: Find the general solution of the ODE.

A:

Q: Evaluate the integral

A: ∫xndx=xn+1n+1+C

Q: integrate the fallowin 4 (usın'sx lx

A: Given: The trigonometric identity that can be used to simplify the above expression.

Q: Integrate the following using substitution rule

A:

Q: Mroset Whiteboard EX2: 3リ-17

A:

Q: Evaluate the integral. 8. 4 Vx(1+8x)*

A:

Q: Evaluate the integral. dt 4 dt =

A:

Q: Evaluate the integral. '3 4,3 3,2 dt -

A:

Q: Proved that cosh fas/ (cashZ+L)

A: To prove :  cosh2z2 = 12cosh (z) + 1

Q: Show that 1 sech-1x = In x2

A:

Q: evaluate the integral.

A:

Q: How do you integrate z/(z+2) in terms of z?

A: Here, integral is,

Q: 8. S(1- sec3x)²dx

A:

Q: 4014H al

A:

Q: 1 dr. (x- 2)3 -1

A: According to the problem, we have

Q: dr 4 – z Integrate:

A: The given integral,∫54-x2dx

Q: Integrate: dr z2 + 4z + 8

A: We will integrate the above expression.

Q: Evaluate the indefinite integral. 12 / (3z)5 + 4(3z)²)((3z)³ + 1)“ dz =

A: Given, ∫(3z)5+4(3z)2(3z)3+112dz

Q: Evaluate the integral. 3. [(ax-2-4) dx 2.

A: The given integral,        ∫234x-2-4dx