Question

integration of tan(2x+3)dx​

Answer 1

Heya

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integration of Tan ( 2x + 3 ) dx

put 2x + 3 = z

2dx = dz

dx = dz/2

=>

integration of Tan ( z ) dz/2

=>

integration of Sin(z)/ Cos(z) × dz/2

=>

log ( Sec z ) × 1/2

=>

log ( Sec { 2x + 3 } ) × 1/2 + c

Where c is called constant of integration.

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Special integral

integration of

F'(x)

____dx = log ( f{x} )

F(x)