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1) Evaluate each integral by substitution: (In x) dx a)f(x+1)(x +2x)'dx b)fxVx² +9dx 「ズ dx 7x+5 dx k)f - x/In x xdx of x +3 (x+6x + 1)dx d)4x- ldx (7x + 2) sin(In x), dx sec'(-) X dx m)f- Dfxe* dx x+1 of- Vx² +2x- 4 dx 2) Evaluate each integral by using inverse trigonometric functions: 1 V16-x o x+2

1) Evaluate each integral by substitution: (In x) dx a)f(x+1)(x +2x)'dx b)fxVx² +9dx 「ズ dx 7x+5 dx k)f - x/In x xdx of x +3 (x+6x + 1)dx d)4x- ldx (7x + 2) sin(In x), dx sec'(-) X dx m)f- Dfxe* dx x+1 of- Vx² +2x- 4 dx 2) Evaluate each integral by using inverse trigonometric functions: 1 V16-x o x+2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) Evaluate each integral by substitution: (In x)' dx a)f(x +1)(x +2x)'dx b)fxVx² +9dx -dx dx xdx xVIn x x +3 g)f (7x² + 2) (x² + 6x + 1)a br sin(In x), d)f V4x – Idx ef- Df xe* dx sec (-) x+1 X_dx dx Vx? + 2x – 4 -) Evaluate each integral by using inverse trigonometric functions: 1 V16-x r+ 2 1 V4 - x? x² - 4x +9 1 2x + 5 dx x2 + 8x + 25 V3 – 2x xp= d) 25+9x²"* 1 dx 1 =dx 3) Find each integral by substitution: 9 -dx- b) 2* d) [3x²e" dx a) [3x*(x' +5)" dx 2+9x c) [4x'Vx* + 6dx 9. 2x e) : =dx Vx? +6 4) Find each integral by substitution: (2+9)7dx a) [x (4x - 3)' dx b) Ss -xp 3x + 5 c) V3x - ldx d) ſe * dx xp- e) f (x' +5) 931 V O
Transcribed Image Text:1) Evaluate each integral by substitution: (In x)' dx a)f(x +1)(x +2x)'dx b)fxVx² +9dx -dx dx xdx xVIn x x +3 g)f (7x² + 2) (x² + 6x + 1)a br sin(In x), d)f V4x – Idx ef- Df xe* dx sec (-) x+1 X_dx dx Vx? + 2x – 4 -) Evaluate each integral by using inverse trigonometric functions: 1 V16-x r+ 2 1 V4 - x? x² - 4x +9 1 2x + 5 dx x2 + 8x + 25 V3 – 2x xp= d) 25+9x²"* 1 dx 1 =dx 3) Find each integral by substitution: 9 -dx- b) 2* d) [3x²e" dx a) [3x*(x' +5)" dx 2+9x c) [4x'Vx* + 6dx 9. 2x e) : =dx Vx? +6 4) Find each integral by substitution: (2+9)7dx a) [x (4x - 3)' dx b) Ss -xp 3x + 5 c) V3x - ldx d) ſe * dx xp- e) f (x' +5) 931 V O
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