Calculus 2 HELP PLEASE!!!?

Question

CAN YOU PLEASE SHOW EVERY STEP

1. FIND Y

y'=5sqrt(5x-1); y(1/5)=5

2. INTERGRATE
(1/X^2)(5^1/X) DX

3. D/DX (5^X + 1/SQRT(X) + piX + pi)

4 FIND DY/DX if Y=X^ln(x)

5. FIND DY/DX IF Y= INTERGAL X^2 AT THE TOP AND 1 AT THE BOTTOM
SQRT(1+T^3) DT

6. INTERGRATE
INTERGAL ln(9) at the top and ln(4) at the bottom e^X/2 DX

7. INTERGRATE
INTERGAL 1/3 e^2X COS(e^2x+1) DX

8. INTERGRATE
INTERGAL 2Xsec(X^2)DX

9. INTERGRATE
INTERGAL 2 at the top ad 1 at the bottom log base 2 (x)/x DX

10 INTERGRATE
V^2+V^1/2/V^3 DV

Answer 1

9)

Apply change base formula

Using parts of integration.

 

 

 

 

Apply quotient rule