Using Integration by Parts In Exercises11-14, find the indefinite integral using integration by parts with the given choices of u and dv. ∫ ( 2 x + 1 ) sin 4 x d x ; u = 2 x + 1 , d v = sin 4 x d x
Using Integration by Parts In Exercises11-14, find the indefinite integral using integration by parts with the given choices of u and dv. ∫ ( 2 x + 1 ) sin 4 x d x ; u = 2 x + 1 , d v = sin 4 x d x
Solution Summary: The author explains how to calculate the indefinite integral by the use of integration by parts.
Using Integration by Parts In Exercises11-14, find the indefinite integral using integration by parts with the given choices of u and dv.
∫
(
2
x
+
1
)
sin
4
x
d
x
;
u
=
2
x
+
1
,
d
v
=
sin
4
x
d
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.
Use Euler's method to numerically integrate
dy
dx
-2x+12x² - 20x +8.5
from x=0 to x=4 with a step size of 0.5. The initial condition at x=0 is y=1. Recall
that the exact solution is given by y = -0.5x+4x³- 10x² + 8.5x+1
Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+4) at (2,6).
Find the point on the graph of the given function at which the slope of the tangent line is the given slope.
2
f(x)=8x²+4x-7; slope of the tangent line = -3
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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