the steps to ∫ x6/10 ln(2x) dx
plz show steps thx
5. a) Evaluate st -2x + 7x? dx. b) Evaluate: [** sin(x* +1]dx. c) Evaluate: [(3x? –5x+4-4e”)dx
3. Evaluate 3. Evaluate | dx Ja=-00 X6 + 1
11. (10 pts) Evaluate the following integral. 1 L.(2x+ dx (2x - 1)
why Sdx dx = ln 12e1
Evaluate the intergral ln(sqrtx) dx
12. Find the derivative of the following: y = ln(2x + 4x2 - 2x + 4)
Utility Function: U = ln (x) + ln (z) Budget Constraint: 120 = 2x + 3z (a) Find the optimal values of x and z (b) Explain in words the idea of a compensating variation for the case where the budget constraint changed to 120 = 2x + 5z
1. Find Derivative: y=2x^3 ln(2x^3+7) a. y' = 36x^4 ÷ 2x^3+7 b. y'=12x^5 ÷ 2x^3+7 - 6x^2 ln (2x^3+7) c. y' = -36x^4 ÷ 2x^3 +7 d. y'=12x^5 ÷ 2x^3+7 + 6x^2 ln (2x^3+7) e. y'=2x^3 ÷ 2x^3+7 - 6x^2 ln (2x^3+7) f. 2x^3 ÷ 2x^3+7 + 6x^2 ln (2x^3+7) 2. Find exact value of the expression. Sin(arctan(x/4)) a. √16-x^2 ÷ x. b. x ÷√16-x^2. c. undefined. d. √16+x^2 ÷ x. e. 4 ÷ √16-x^2 f.none
please help
Evaluate the integral. 2 (2x + 2)dx 3 2 Sizx+2)dx= (2x + 2)dx = (Simplify your answer.) 3
A. 1 - dx x(ln x) (Hint: Let u = ln x) 2 B. v3 arctan x - dx 1+2 م 1/2 م ccosx dr [use cost on p.494 prob. 44 formula]