Math
posted by Jules .
Could someone answer this question so I understand it. Thanks
Find the indefinite integral.
x/ã3x^2+4 dx =
Simplify the answer. Use C as the arbitrary constant.

Required:
I=∫xdx/√(x²+4)
Try u=x²+4, du=2xdx, xdx = du/2
I=∫ (1/2)du/√(u)
Use the power rule for u^(1/2)
I=u^(1/2)+C
=√(x²+4) + C
Respond to this Question
Similar Questions

calculus
f(x) = 6x^2 8x +3 how would I find the most general antiderivative of the function. I also have to check my answer by differentiation. Would I have to find the derivative first? 
Calculus
Solve these indefinite and definite integrals. [integration sign] 4j5j^3 dj I got 2j^2  5/4j^4... is this my final answer? 
Calculus
Solve the differential equation. Let C represent an arbitrary constant. (Note: In this case, your answer willto have a negative sign in front of the arbitrary C.) (dz)/(dt) + e^(t+z) = 0  (dz/dt) + (e^t)(e^z) = 0 (dz/dt) … 
math
Could someone answer this question. im stuck on it. Id appreciate it. Use substitution to find the indefinite integral. çp(p+3)^5 dp Use C as the arbitrary constant. 
Math
Could someone answer this question so I understand it. Thanks Find the indefinite integral: çx/ã3x^2+4 dx Use C as the arbitrary constant. 
Math
Could someone work this question out so I understand it. Find the indefinite intregral (lnx)^7 / x dx Use C as the arbitrary constant. 
Math
Evaluate the following indefinite integral. Use C as the arbitrary constant. ç(12 /ãx+12ãx)dx Only the x's are under the root symbols. I got 6x^1/2 +8x^3/2+C as my answer. Is that correct? 
Math
1. Evaluate the indefinite integral ([6x^2 + 12x^(3/2) +4x+9]/sqrt x)dx. Answer = + C 2. Evaluate the indefinite integral (12sin x+4tan x)dx. Answer = + C 3. Evaluate the indefinite integral. (x^7)e^(x^8)dx. Answer = + C Thank you … 
Calc BC
1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2(pix/7)dx 2. Find the indefinite integral by making the substitution x=3tan(theta). Indefinite integral x*sqrt(9+x^2)dx 3. Find the indefinite integral. Indefinite … 
Math
good day please help with this indefinite integral,especially what formula i can use to solve it2x+1/(3x^2+3x+5)dx.Find the indefinite integral.