# Math

posted by .

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 for helping.

• Math -

∫(6x^2 + 12x^(3/2) +4x+9]/√x)
= ∫ 6x^(3/2) + 12x + 4x^(1/2) + 9x^(-1/2) dx
= (12/5)x^(5/2) = 6x^2 + (8/3)x^(3/2) + 18x^(1/2) + c

∫ (12sinx + 4tanx) dx
= ∫( 12sinx + 4 sinx/cosx) dx
= -12cosx - 4ln(cosx) + c

∫ (x^7) e^(x^8) dx
= (1/8) e^(x^8) + c

## Similar Questions

1. ### Calculus II/III

A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the x-axis from 4 to 9. For part …
2. ### Calc.

Evaluate the indefinite integral. Please check my work?
3. ### calculus

Evaluate the indefinite integral: y^3*sqrt(y + 5) dy.
4. ### Calculus

Evaluate the indefinite integral of InT(-x^3+9x^2-3x+2)/(x^4-2x^3) I got ((1-2x)/(2x^2))+3*ln(2-x)-4*ln(x)+c but apparently that's not the answer... and I don't know why.
5. ### Calculus

Evaluate the indefinite integral of InT(-x^3+9x^2-3x+2)/(x^4-2x^3) I got ((1-2x)/(2x^2))+3*ln(2-x)-4*ln(x)+c but apparently that's not the answer... and I don't know why.
6. ### 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 …
7. ### Calculus

Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral.
8. ### math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral 2(2x+6)^5 dx, u=2x+6
9. ### math

Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral cos(9x) dx, u=9x