University:
Montgomery College
Course:
MATH 150: Elementary Applied Calculus I
Academic year:

2019
Views:

240

Pages:

2
Author:

Seena4tm5

Antiderivatives and the Fundamental Theorem of Calculus Section 5.2 1. (a) Find the antiderivative of each function. Write answers with no negative exponents. f ( x) 12 x3 8x 5 (b) f ( x) 12 x (c) f ( x) 12 x2 (e) f ( x) 5 x 4 7 x3 3x 2 4 x x3 (g) f ( x) 5 x 2. (d) f ( x) 4 5 x4 x4 5 54 x 12 x (f) f ( x) 3e7 x (h) f ( x) (3x 2)( x 5) Find the function f ( x) such that f ( x) 6x2 8x 5 and f (3) 9. 3. 4. Find the function f ( x) such that f ( x) 4 and f (e) 10 . x Evaluate each definite integral using the Fundamental Theorem of Calculus. 2.6 9 3 3 (1 2 x 4 x )dx dx (b) (c) 8.4e0.4t dt x 1 0 4 3 (a) Answers 1(a) 3x4 4 x2 5x C (b) 8x3/ 2 C (d) 24x1/ 2 C 5 1 5 x 3 25 3x 3. f ( x) 4ln x 6 (g) x5 (e) 4 x5 / 4 C 5x2 2 7 x 3ln x (c) 8 x3 C (f) 12 C x 3 7x e 7 C 13 2 2. f ( x) 2 x3 4 x 2 5x 66 x 10 x C 2 4. (a) -70 (b) 6 (c) 21(e1.04 1) 38.41 (h) x3