|(Vi-cost – 2')dt

Q: Evaluate f 5z" In8x dz using integration by parts.

A: Given integration: ∫5x7 ln8x dx Use the integration by parts: ∫u v dx=u∫v dx-∫dudx∫v dx dx Here…

Q: Evaluate.cuse C for the Constant of integration). 40 t6x-X dx

A:

Q: Estimate | (2x – 5) dx using left endpoints for n = 3 approximating rectangles. %3D 5 (2x – 5) dx is…

A: Given: ∫152x-5ddx The left Riemann sum (also known as the left endpoint approximation) uses the left…

Q: Find the indefinte integral. (2x+ (2x+3)lnx dx'

A:

Q: dx 3. J TxVx-1

A: the given integral is: ∫dxxx-1 we have to evaluate the given integral.

Q: integrate by parts f(x)=x2e2x dx

A: f(x)=x2e2x dx To integrate the given function by parts.

Q: S(cost x- sin x)dx

A:

Q: E) INTEGRAL : 9.) S(5t3 + 2t? – 5t – 50)dt 10.) S(3x2 + 2x + 500)dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 8 dx x + 8 +

A: We first rationalize the…

Q: 2dx J = (3(ln x)² + 12 In x – 15)i -

A:

Q: S sec x dx Use Integration by parts to solve

A:

Q: 28. Se cost sin 2t dt

A: ∫0πecostsin2tdtSolution :∫0πecostsin2tdt2∫0πecostsintcostdtlet, cost=x-sintdx=dxsintdx=-dxat…

Q: Evaluate with the order of integration reversed..... 4 11: x dx dy

A:

Q: 2x dx ex+3

A: ∫e2x dxex+3

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: x2 dy dx by reversing the order of integration. 4/x 1. Evaluate

A: Given double integral is∫14 ∫4x4x2 dy dxNow , By interchanging the integral we have ,∫y=14…

Q: Evaluate the integral of (t)(sint)(cost) dt

A: We need to evaluate the following integral ∫tsintcostdt

Q: Find the integral ∫y (square root of y+2) dy

A: To find: ∫ yy+2dy

Q: Approximate 2x e 2 dx using three equal subintervals. - 1

A: To Approximate

Q: Sz x² sin 2x dx (Integration by Parts)

A:

Q: Q3) Reversing the order of integration 2 y² sinxy dy dx

A: Explanation of the solution is given below...

Q: Use the Midpoint Rule with n = 4 to approximate 2x the integral 1 dx to three decimal place.

A:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

Q: evaluate using Integration by Parts.

A:

Q: Find the antiderivative. (Use C for the constant of integration.) (8x + 9) dx

A:

Q: =valuate the integral. (Rem. 25 + x2 dx

A:

Q: Area between curves y=e^5x y=e^3x x=1

A:

Q: Use integration by parts to prove the reductionformula.

A: We have to prove the reduction formula using integration by parts method: ∫xnexdx=xnex-n∫xn-1exdx If…

Q: Use integration by parts to find S x² In 5x dx

A:

Q: I Approximate "dn with accuracy l by te modified Trapozoidal Compo site rule.

A:

Q: Use integration by parts to find the integral. xeax dx (a # 0)

A:

Q: (b) Evaluate f 3æ“ In6x dx using integration by parts.

A:

Q: Use the Midpoint Rule to approximate the integral 13 | (- 2x + 10æ²) dx with n=3.

A:

Q: Using the trapezoidal rule with n = 4, estimate the integral / (x (x+1)² dx.

A:

Q: Estimate (2x – 5) dx using midpoints for n = 3 approximating rectangles. (2x – 5) dx is…

A: 4

Q: For Trig integration find the integral of  Sec^6(6x)

A:

Q: dy * Find dx ソ= sint sx-cost

A:

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 10 x² dx M4 =

A: The given integral is ∫210x2dx. The mid point rule states that if fxis continuous on [a,b][. Let n…

Q: First make a substitution and then use integration by parts to evaluate the integral. dx

A:

Q: find the integral of t sint cost dt

A: Integrand, I = t sint cost dtRecall the formula from trigonometry: sin2t = 2 sint costHence, sint…

Q: Evaluate the integral. cost dt sin n² t - 5 sin t + 4 Select one:

A: We will substitute sint=x, then we will do partial fraction.

Q: evaluate using Integration by Parts.

A:

Q: a) Evaluate 1| dx by using integration by parts.

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

Q: Approximate S“ In x dx using three rectangles of equal length and left end points. Is your estimate…

A: The given integral ∫1e2ln x dx, three rectangles and left end points.

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: Use integration by parts for both.

A: The given integral is

Q: 4/x e dx 4 2.

A: The given integral is Apply the method of substitution Let Therefore,the limits also get changed…

Q: 3. Estimate the value of the integral 1 dx (n = 4) using Trapezoidal rule. 1+ln x

A: The value of h in the trapezoidal rule is h = b-anh = 5-34h = 24h = 0.5 Form a table with the x…

Q: Find y'+dy/dx for x^2+3x+1 Find Tangent Line  with x=-1

A:

Q: find the indefinity integral  x^9 dx

A: