# integration of inverse trig.

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• Nov 16th 2009, 11:49 PM
christina
integration of inverse trig.
What is the integral of sin(-1)x + cos(-1)x?
I know that it equals pi/2 so does that mean that the integral is (pi)x/2?

thank you for any help =)
• Nov 17th 2009, 05:16 AM
Krizalid
that identity only holds for $|x|\le1.$
• Nov 17th 2009, 06:23 AM
Grandad
Hello christina
Quote:

Originally Posted by christina
What is the integral of sin(-1)x + cos(-1)x?
I know that it equals pi/2 so does that mean that the integral is (pi)x/2?

thank you for any help =)

Yes, give or take a constant of integration, and provided the values of $x$ lie in a suitable range.

Grandad