Easy Integration (1 Viewer)

[youngminii]

Integrate sec^4x

Thanks

 

[tommykins]

int. sec^4 x = int. (1+tan^2x)sec^2x = int sec^2 x + sec^2x.tan^2x = tanx + tan^3 x/3 + c

 

[youngminii]

I love you

 

[youngminii]

Actually, can you quickly explain how
int sec^2x.tan^2x = tan^3x/3 + c

 

[Timothy.Siu]

Actually, can you quickly explain how
int sec^2x.tan^2x = tan^3x/3 + c

d/dx(1/3tan^3 x)=sec^2x.tan^2x

 

[tommykins]

Actually, can you quickly explain how
int sec^2x.tan^2x = tan^3x/3 + c

reverse chain rule-
int f'[x]*[f[x]]^n dx = [f[x]^n+1]/n+1

 

[youngminii]

reverse chain rule-
int f'[x]*[f[x]]^n dx = [f[x]^n+1]/n+1

Crap, didn't know that
Thanks