Evaluate the following integrals.int(x/(sqrt(x-4))dx

aortiH 2021-01-13 Answered

Evaluate the following integrals.
(xx4dx).

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

dieseisB
Answered 2021-01-14 Author has 85 answers

Step 1
Consider the integrals,
(xx4dx).
Suppose that, x4=t
Differentiating with respect to "x"
12x4dx=dt
1x4dx=2dt
Step 2
Substitute all value in given integrals,
xx4dx=(t2+4)2dt
=2(t2+4)dt
=2[t33+4t]+C
=2t33+8t+C
=23(x4)32+8x4+C

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2022-04-10
Integrate 4 e tan 1 ( t ) 7 ( t 2 + 1 ) with respect to t.
asked 2022-05-13
Integrate 1 3  t 4 tan ( 5 t 5 ) sec ( 5 t 5 ) with respect to t.
asked 2022-04-30
I am approximating a solution to a first order LODE using Euler's method. I made two tables, one using a step size of .01 and another using .05 ( I had to start at x=0 and end at x=1). I am not understanding the directions for the second part of my assignment:

It states that the order of numerical methods (like Euler's) is based upon the bound for the cummulative error; i.e. for the cummulative error at, say x=2, is bounded by C h n , where C is a generally unknown constant and n is the order. For Euler's method, plot the points:
( 0.1 , ϕ ( 1 ) y 10 ) ,
( .05 , ϕ ( 1 ) y 20 ) ,
( .025 , ϕ ( 1 ) y 40 ) ,
( .0125 , ϕ ( 1 ) y 80 ) ,
( .00625 , ϕ ( 1 ) y 160 )
And then fit a line to the above data of the form C h. I don't understand, am I supposed to plot these using a step size of .1 or .05? Or am I supposed to use another step size?
Any clarification is appreciated.
Thanks
Edit:
The LODE I am given is y = x + 2 y , y ( 0 ) = 1 and the exact solution I found was ϕ ( x ) = 1 4 ( 2 x + 5 e 2 x 1 ).
asked 2021-10-17
Evaluate the iterated integral.
130y4x2+y2dxdy
asked 2021-11-16
Find integral.
(8cosx7sinx)dx
asked 2021-02-25
Find the required information and graph:
2x2+2y2+2x+14y+17=0
asked 2022-08-03
at room temperature, glass used in windows actually has some properties in a liquid. it has a very slow, viscious flow glass does not become a true liquid until temperatures are greater than or equal to 525 degreesC. Find the Farenheit temperatures for which glass is a liquid
Formula is F = 9/5 C + 32
= {F/F less than or equal to ?}

New questions