Evaluate the integral: sin² x cos³ x dx. 1²xcos³xdx= sin²xcos²xcosxdx 2xcos®xda = /sin? sin = [sin ²x (1+ sin²x) cosxdx= [(sin²x+ sinx) (cosxdx) Finish by letting u=cosx. [sin²xcos³xdx = [sin²xcos³xcosxdx = [sin ²x Finish by letting u = sinx. = = f (sin ²x + sin ²x (1+ sin²x) cosxdx = (sin ²x + sin+x) (cosxdx) "sinxcos®xd = / sin?xcos3xsinxde sin²x (1 – sin²x) sinxdx = [ (sin²x – sin*x) (sinxdx) - Finish by letting u = sinx. [sin ²xcos³xdx = [sin ²xcos²xcosxdx = [sin²x(1-sin³x) costes = f(sin²x – sin³x) (conxdx)
Evaluate the integral: sin² x cos³ x dx. 1²xcos³xdx= sin²xcos²xcosxdx 2xcos®xda = /sin? sin = [sin ²x (1+ sin²x) cosxdx= [(sin²x+ sinx) (cosxdx) Finish by letting u=cosx. [sin²xcos³xdx = [sin²xcos³xcosxdx = [sin ²x Finish by letting u = sinx. = = f (sin ²x + sin ²x (1+ sin²x) cosxdx = (sin ²x + sin+x) (cosxdx) "sinxcos®xd = / sin?xcos3xsinxde sin²x (1 – sin²x) sinxdx = [ (sin²x – sin*x) (sinxdx) - Finish by letting u = sinx. [sin ²xcos³xdx = [sin ²xcos²xcosxdx = [sin²x(1-sin³x) costes = f(sin²x – sin³x) (conxdx)
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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