Examine the integrals below. Consider the multiple tools available for evaluating integrals and use the best strategy for each. After evaluating the integral, write a short description of your method.
You could rewrite the integrand as a piecewise function. Or you could sketch the graph (it's a transformation of
) and use geometry.
Before you integrate, rewrite the integrand with exponents.
Notice the bounds.
Don't panic! What famous trig function has a derivative of