Problems 39–66 are mixed—some may require use of the integration -by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g ( x ) > 0 whenever ln g ( x ) is involved. 61. ∫ ( ln x ) 4 x d x
Problems 39–66 are mixed—some may require use of the integration -by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g ( x ) > 0 whenever ln g ( x ) is involved. 61. ∫ ( ln x ) 4 x d x
Solution Summary: The author explains how to find the value of integrals, such as displaystyleint(mathrm
Problems 39–66 are mixed—some may require use of the integration-by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g (x) > 0 whenever ln g(x) is involved.
61.
∫
(
ln
x
)
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.
For each dif erential equation in Problems 1–21, find the general solutionby finding the homogeneous solution and a particular solution.
Please DO NOT YOU THE PI method where 1/f(r) * x. Dont do that.
Instead do this, assume for yp = to something, do the 1 and 2 derivative of it and then plug it in the equation to find the answer.
Question 6
Find r(x + 6)* dx.
3x*+ 12x³+C
5
x5+3x++ 12x³+ C
x5+-x*+12x³+C
5
3
5x5+ 3x4+ 12x3+ c
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