7. (1+ 2e"/»)dx + 2e*%» (1-) dy = 0

Q: 3. J sinh(5x – 1) dx

A: Please refer the attached image for complete solution.

Q: Evaluate S sinh x cosh x dx by introducing u-sinh x

A: Given that: ∫sinhx.coshx.dx

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A:

Q: Integrate O sinh 2x dx

A:

Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: In estimating cos(3x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the error 1…

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Q: 5. 12 sec² (3x) dx 0.

A: We have to solve

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A: We have to solve given integration

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A:

Q: Integrate tan -1 x dx without using integration by parts.

A: We will find the solution in the following step.

Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: Find e-ax dx } first integrating and then transforming result.

A: Here we find Laplace transform

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Q: Approximate - -1x+3 -dx using trapezoidal rule with n=4 and Simpson's rule with n=4.

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Q: In estimating cos(3x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

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Q: (Use Simpson's Rule with n=4 to approximate 5x* dx

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Q: integral of tan3xsec^4(3x) dx

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Q: Verify Eq. (2): cosh 2 x - sinh2 x = l.

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Q: 1. ļ | sinh 3x dx

A: The objective is to evaluate the integrarion.

Q: Find the first derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and y = ( ex – e –x ) / (ex…

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Q: 3. x)dx sin(ln

A:

Q: Use Simpson's Rule with n = 4 to approximate 5x* dx.

A: The solution is given as

Q: Estimate x² dx using left endpoints for n = 4 approximating rectangles. 3 x² dx is approximately

A: The equation of the integral function is ∫03x2dx. The left endpoints is n=4.

Q: The rate at which the total average of COVID cases is dx increasing at x = 10 tents and 1 tent per…

A: Given,    no. of tent = 25 ,  average no. of cases=6

Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let the length of a diagonal is = d1=x m So the length of the other diagonal = d2=(x+2) m. Given…

Q: 8. dx +x2 Integrate:

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Q: 3 dx V16-x²

A:

Q: From 0-2 sin(x^2) dx using trapezoidal rule with n=4 as well as midpoint rule with n=4

A: Trapezoidal rule=∫02sin2(x)......(1)As we know that accoding to trapezoidal rule…

Q: In estimating | cos(3x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the error…

A: We have to find the error in trapezoidal and Simpson rule .

Q: Find the approximate surface area of a sphere of radius 5.02 cm. (SOLVE BY USING DIFFERENTIAL…

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Q: dx Q2. Integrate

A: Given,I=∫1x2+15dx Consider x=tanu and u=arctan(x) then, dx=sec2udu…

Q: sin“ (x)dx 4

A:

Q: Use integration by parts to solve tan-1(2x) dx.

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Q: How many times will you perform integration by parts to evaluate sin(Inx)dx?

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Q: aluc of 4 alue of dx. 1+(x – 2)? 1

A: See the details solution in below

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: q² In(x³ + 1) dx

A:

Q: for dx

A: Given integration is : ∫exdx To find the value given integration by parts.

Q: calculate the integral.

A:

Q: (0.2t25x+3x²) dx

A: We have to find the value of ∫050.2+25x+3x2dx using the Trapezoidal rule We take that the number of…

Q: Without integrating, explain why

A: when the integration is in the form  ∫-aaf(-x)=∫-aa-f(x) is odd then it is equal to 0

Q: Integrate completely

A: Given,             ∫2x+12x-53dx

Q: Approximate fls 3 + 2x* using Simpson's rule (n=6), then find the percentage of error after…

A: nhbgk

Q: ubstitution and by parts?

A: we have to integrate ∫cos(ln x)dx integration by substitution and by parts.

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let d1, d2 be the diagnols of a parallelogram given,  d1+d2=18d1=2+d2 ⇒d1=10, d2=8 Area of the…

Q: Ssin(3x) sin(7x) dx

A: