HELP!!!!!!!!!!!!! integration (1 Viewer)

[star*eyed]

PLZ help me with this question


the integration with x= 2 and 0 of 1/ (xsquared +4)

ANY HELP WOULD BE APPRECIATED!!!!!!!!!!!!!

 

[Trev]

Use your standard integral table, it's a basic tan^-1(blah) one.

 

[hyparzero]

this is an Inverse Tan Integration

I = ∫ 1/(x² + 4) {x = 0 ; 2}

I => arctan(x/2) / 2 {x = 0 ; 2}

Therefore I = 1/2 [arctan(1) - arctan(0)] = 1/2 [π/4]

Thus I = π/8

 

[rama_v]

Thats not a 2 unit question