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What is #int xsin3x #?

Answer 1

Charles Anctil

#-(x^2cos3x)/3-1/9sin3x+c#

#intxsin3xdx#

#=x intsin3xdx-int[d/(dx)(x) intsin3 xdx]dx#

#=-x^2(cos3x)/3-int[(cos3x)/3]dx#

#=-(x^2cos3x)/3-1/3(sin3x)/3+c #

#=-(x^2cos3x)/3-1/9sin3x+c#

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Answer 2

Ezra Adams

The expression "int xsin(3x)" represents the indefinite integral of the function x times the sine of three times x with respect to x. It can be solved using integration techniques such as integration by parts or substitution.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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