calculus homework help

Anonymous
timer Asked: Jun 2nd, 2016
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Question Description

Integrate the function sin(x+1)*cosx/x^3

Tutor Answer

Professorsahil
School: UC Berkeley

This is the required answer Thanks bbye

Problem:

∫cos(x)sin(x+1)x3dx
Reduce trigonometric/hyperbolic functions:

=∫sin(2x+1)2+sin(1)2x3dx
Apply linearity:

=12∫sin(2x+1)+sin(1)x3dx
Now solving:

∫sin(2x+1)+sin(1)x3dx
Expand:

=∫sin(2x+1)x3+sin(1)x3dx
Apply linearity:

=∫sin(2x+1)x3dx+sin(1)∫1x3dx
Now solving:

∫sin(2x+1)x3dx
Integrate by parts: ∫f′g=fg−∫fg′

f′ =1x3, g =sin(2x+1)
⟶ f =−12x2, g′ =2cos(2x+1):
(For the steps leading to f, enter...

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Review

Anonymous
awesome work thanks

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