Finding Indefinite Integrals In Exercises 49-52, find the most general antiderivative or indefinite

evaluate the integrals in 41. 1∫3 7 dx 42. 2∫0 5x dx

Finding Indefinite Integrals In Exercises 65–70, find the most general antiderivative or indefinite

Finding Indefinite Integrals In Exercises 45-48 , find the most general antiderivative or indefinite

Finding Indefinite Integrals In Exercises 25–70, find the most general antiderivative or indefinite

find a formula for the Riemannsum obtained 46. ƒ(x) = x^2 - x^3 over the interval [-1, 0].

65. xy + 2x + 3y = 1;66. x^2 + xy + y^2 - 5x = 2;67. x^3 +4xy-3y^(4/3) =2x;68.5x^(4/5)+10y^(6/5)=15

81. If av(ƒ) really is a typical value of the integrable function ƒ(x) on [a, b] , then the constant

use a definite integral to find the area of the region between the given curve and 52.y = πx^2

evaluate the integrals in 38. √3a∫a x dx 39. b^(1/3)∫0 x^2 dx 40. 3b∫0 x^2 dx

13. Suppose that ƒ is integrable and that 3∫0 ƒ(z) dz = 3 and 4∫0 ƒ(z) dz = 7. Find a. 4∫3 ƒ(z) dz

84. Upper and lower sums for decreasing functions (Continuation of Exercise 83.)

find the absolute maximum and minimum values 130. y = 10x(2 - ln x), (0, e2 ]

use a definite integral to find the area of the region between the given curve and 53. y = 2x

S is a solid in the first octant bounded by the coordinate planes and enclosed by the paraboloids..

Annihilator_Example_P-Q5_P4_Math_230

Checking Antiderivative Formulas Verify the formulas in Exercises 71–74 by differentiation

Evaluate the sums in 25. 5Σk=1 k(3k + 5) 26. 7Σk=1 k(2k + 1)

Calculus - Integral (2x+1)/(x^2-5x+4) dx - Partial Fractions (Request)

9. Which formula is not equivalent to the other two? a. 4Σk=2 ((-1)^k-1)/(k - 1)