(a) Make u- substitute (5) to convert the integrand to a rational function of u, and then evaluate the integral . (b) If you have a CAS, use it to evaluate the integral (no substitution), and then confirm that the result is equivalent to that in part(a). ∫ d x 1 + sin x + cos x
(a) Make u- substitute (5) to convert the integrand to a rational function of u, and then evaluate the integral . (b) If you have a CAS, use it to evaluate the integral (no substitution), and then confirm that the result is equivalent to that in part(a). ∫ d x 1 + sin x + cos x
(a) Make u-substitute (5) to convert the integrand to a rational function of u, and then evaluate the integral. (b) If you have a CAS, use it to evaluate the integral (no substitution), and then confirm that the result is equivalent to that in part(a).
∫
d
x
1
+
sin
x
+
cos
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Make a substitution to express the integrand as a rational function and then evaluate the integral
-4 cos(x)
dx
I sin?(x) + sin(x)
a) Rewrite A = √=x² + 4x + 21 in the form A
V 6² - (x − a)².
b) Use a trigonometric substitution to evaluate the indefinite integral.
S/ dx
You must show all steps.
Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then by a u-substitution in the
corresponding indefinite integral.
(4 – 3x)°dx = i
University Calculus: Early Transcendentals (4th Edition)
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY