\int \frac{6x^3+5x^2-47x-36}{x^2-9}dx
8. Using Chain Power Rule a) ∫ (3X^2 + 4)^5(6X) dx b) ∫](2X+3)^1/2] 2dx c) ∫X^3](5X^4+11)^9 dx d ∫(5X^2(X^3-4)^1/2 dx e) ∫(2X^2-4X)^2(X-1) dx f) ∫(X^2-1)/(X^3-3X)^3 dx g) ∫(X^3+9)^3(3X^2) dx h) ∫[X^2-4X]/[X^3-6X^2+2]^1/2 dx
– 5x – 2 2 <1 Given the function t(x) 4.x2 - 6x +3 1< I< 5 - 3+1 I > 5 Calculate the following values: t(0) t(5) = t(2) = t(10) t(9) = t(1) =
Question 9 Find 5x+1 f(x) dx given that f(x) = { 3-x 0<x< 1 1<x<3 =la ole ala ala T
Evaluate the integral. -3+e-6x dx 5x 33 +C O 30 e-11x33e6x + 5) + C o 1-3*43e64-5)+c O-3e-11x11e5x + 1) +
Evaluate the integral. 5 cost 3x dx 15 5 5 0 5x+7 sin 6x + 32 sin 12x + C 15 5 O Š x + 12 sin 6x + sin 12x + C 5. Tx+ 12 sin 3x + sin 12x + C 15 5 5 Tx+ 12 sin 3x + 56 sin 6x + C
Find dy/dx by implicit differentiation. 5x^2 - 5y^2 = 9 dy/dx =
3.) a.) Evaluate the following integral. (15 points) in(1 +5x?) dx b.) Evaluate the following integral. (10 points) tanº (6x) sec 10 (6x) dx
Do not use calculator. 10 2. The value of " do is to s'of?dx = 5"x"dx = * | - x - - - - - 105 - - - 3. Find ((2 +6)(2 – 2)de 3 +2x?-12x+C 5(X+6)(x-2)dx =S(X?-2x +6x–12 )dx =5x+4y-tzdy = x + -12y = x+2x?_12y+C Math 148 Business Calculus Page 1
Evaluate the following integrals.
S 5x-2 dx x2-4 s 9x+25 (x+3)2 dx 2 x3+3x2-4x-12 dx x2+x-6
lime (++)*2 10 lim (cosk) 3/2 xoo use IBP to integrate x Sin (5x) dx x sin (25x) dx