# calculus homework help

*label*Mathematics

*timer*Asked: Jun 2nd, 2016

*account_balance_wallet*$10

### Question Description

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

## Tutor Answer

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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