Consider the definite integral. (10x - )x – 1) ex²-x dx Let u = 5x2 – x. Use the substitution method to rewrite the function in the integrand, (10x – 1) e³*-x, in terms of u.

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...
Question
Consider the definite integral.
3
(10x – 1) e5x²x
Let u =
- x. Use the substitution method to rewrite the function in the integrand, (10x – 1) e3x²-x, in terms of u.
integrand in terms of u:
du
Transcribed Image Text:Consider the definite integral. 3 (10x – 1) e5x²x Let u = - x. Use the substitution method to rewrite the function in the integrand, (10x – 1) e3x²-x, in terms of u. integrand in terms of u: du
Write the integral in terms of u and du. Then evaluate.
XV7X + 2 dx,
и 3D 7х + 2
(Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.)
x/7x + 2 dx =
Transcribed Image Text:Write the integral in terms of u and du. Then evaluate. XV7X + 2 dx, и 3D 7х + 2 (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C as much as possible.) x/7x + 2 dx =
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