Math
posted by Hannah .
Solve integration using u substitution of (x+1)sqrt(2x)dx

integrate (x+1)sqrt(2x)dx
u = (sqrt(2  x))
u^2 = 2  x
x = 2  u^2
 2u du = dx
I = integral sign
I (2  u^2 + 1)u 2u du
I (3  u^2)2u^2 du
I (6u^2 + 2u^4) du
6 I u^2 du + 2 I u^4 du
2 I u^4 du  6 I u^2 du
2 (1/5 u^5)  6 (1/3 u^3)
2/5 u^5  2u^3
substitute back in for u = (sqrt(2x))
2/5(sqrt(2x))^5  2(sqrt(2x))^3
Respond to this Question
Similar Questions

calculusintegration!
should i use substitution?? if yes how should should i use it? 
Math Help please!!
Could someone show me how to solve these problems step by step.... I am confused on how to fully break this down to simpliest terms sqrt 3 * sqrt 15= sqrt 6 * sqrt 8 = sqrt 20 * sqrt 5 = since both terms are sqrt , you can combine … 
Math/Calculus
Solve the initialvalue problem. Am I using the wrong value for beta here, 2sqrt(2) or am I making a mistake somewhere else? 
calculus
Assuming that: Definite Integral of e^(x^2) dx over [0,infinity] = sqrt(pi)/2 Solve for Definite Integral of e^(ax^2) dx over [infinity,infinity] I don't know how to approach the new "a" term. I can't use usubstitution, integration … 
Math
Solve integration using u substitution of (x+1)sqrt(2x)dx 
calculus II
Using integration by substitution. find the exact value of integral from [0,9/16] sqrt(1  sqrt(x))/(sqrt(x)) 
calculus
find the volume of solid inside the paraboloid z=9x^2y^2, outside the cylinder x^2+y^2=4 and above the xyplane 1) solve using double integration of rectangular coordinate. 2) solve using double integration of polar coordinate 3)solve … 
Calculus 2 (Differential Equation)
How would you solve the following problem explicitly? 
Math
So I am supposed to solve this without using a calculator: Sqrt[20]/10  Sqrt[10]/Sqrt[32]  Sqrt[0.3125] + Sqrt[3 + 1/5] You can put this into WolframAlpha as is to make it prettier. Answer given is 1/2 * SQRT(5) I really don't know … 
MathematicsIntegration
Using a suitable substitution show that integrate {[ln1+x]/[1+(x)^2]} from 01 = (π/8)ln2 On this one, I don't really have any ideas of going forward solving this.I don't see a substitution which will simply the integral.