43. Evaluate I = dx or state that it diverges. lo x(2x+5)

Q: (b) Guess the value of dx when n is an arbitrary positive integer.

A:

Q: Evaluate 1cos ax dx and 1sin ax dx, where a is a constant.

A: We know that, ∫cosθdθ=sinθ+C           ⋯⋯1∫sinθdθ=-cosθ+C     ⋯⋯2 (a) We have, I=∫cosaxdx Let us…

Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

A: Evaluation of the indefinite integral by substitution method

Q: Use Version 1 of the Chain Rule to Calculate dy/dx

A: y=5x2+11x20Chain rule:dydx=dydu.dudx

Q: 1. Evaluate (i) dy dx, 3

A:

Q: Evaluate S 2y²sinxy dy dx

A:

Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

A:

Q: ə e(g?+5xy-24 +4) dx x(2x + 2y -1) dly + メ

A:

Q: 57. Verify that S2 yields the exact value of | (x – x³) dx.

A:

Q: What is ſ e2x dx? 1+ex

A: Given :                      ∫e2x1+ex dx     Substitute u = ex+1  ,  dudx = ex…

Q: (3) SaʼIn a dx =

A:

Q: Find dy/dx for the following xVx² In y = In + 1 2 (x + 1) 3

A:

Q: 22. Evaluate So Si S dx dy dz.

A:

Q: S tanx It Cosuy dx

A: Topic:- application of integration

Q: 6. If Jo(2x* +x-a)) dx = 24, find the value of a constant.

A: ∫0262x2+x-a dx=24

Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

A:

Q: Evaluate exactly. In4 xe'dx TTTArial

A:

Q: 46-% dy dx change bheorder and eva/ute.

A:

Q: Evaluale the to 312 bwiny dx 12

A:

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: Evaluate the to -y dxd

A: Given that, the integral is ∫01∫01-y2x2+y2dxdy. Obtain the value of ∫01-y2x2+y2dx.…

Q: 1. De trmime the Comvrrgeuse or Divergence of the fallowing ingrper Imtogols Frd te volue of the…

A: We can solve this by evaluating the integral

Q: Find dy/dx if y = x In(x). Answer:

A: We find the derivative of this function with the help of formula of differentiation of product of…

Q: . In (3xy) %3D х+ x5

A:

Q: d Verify coth x = - csch² x. dx

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: dy Find dx if y In(x2 32)

A: Given:

Q: Inx 17. Determine S dx

A:

Q: dx is approximately

A: The midpoint rule uses the midpoints of a subinterval:

Q: Show that esin(x²)dx < e– 1.

A:

Q: when

A:

Q: x² dx 4

A:

Q: x singe dy dre

A: We will use simple integration rules to solve this question.

Q: sec2 X dx 3

A:

Q: if x = acos30, y = asin30 , find /1 + 2 dx

A:

Q: b) Evaluate S e-2t sinht dt an

A:

Q: Find So S 4:xy dx dy.

A: Evaluate the integral.

Q: dy 5. х dx - (1 + х)у %— ху?

A: The methods and formulas to find the solution of the Bernoulli equation help to find the required…

Q: Evaluate dx .

A:

Q: Find de when y = In(1+ 5/æ) dx

A: The objective is to find derivative.

Q: find dy/dn in5 フx 34+2

A: Since you have posted multiple question We solve only first question  for reaming question post…

Q: Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: dx x? – 4x + 5

A:

Q: Evaluate L S dx dy. O 1 2/3 1/2 O 2

A:

Q: In (5x) dx 1 In (5x) dx = (Do not round until the final answer. Then ro

A:

Q: Use the chain rule to find dy/dx for th following (a) y= (3x^2 - 13)^3

A:

Q: 7) Find dx if y- J

A:

Q: 1. y = In (12x)

A:

Q: 19. S.cosTa de cos7x dx 5

A: