/sci/ - Science & Math

I'm learning integrals and I'm supposed to find the area between y=tanx and y=2sinx between -pi/3 and pi/3. Can someone explain why this answer isn't 0? I thought on the -pi/3 to 0 interval would give a negative answer and 0 to pi/3 interval would give a positive answer, canceling each other out since sin is greater on one interval and tan greater in the other.