Can someone please help me out with this homework question? It is from Selected Topics in Numerical Analysis. Please and thank you!

(3) Assume that you are trying to obtain an approximation to an integral whose limits are -1 to 1, using an adaptive quadrature routine based on GK15, the 15 point Gauss-Kronrod rule. The points at which the integral will be evaluated by this routine are given in the course notes. Assume that the first step of the adaptive quadrature routine is to call GK15 to obtain an estimate of the integral and an estimate of the error over the whole interval (-1,1]. Assume that the adaptive quadrature routine will return when it obtains an error estimate that is less than the tolerance, which we will assume is greater than zero. Construct an integrand, which has a non-zero integral value on (-1,1], for which the adaptive quadrature routine will return with an integral approximation of zero and an error estimate of zero. (3) Assume that you are trying to obtain an approximation to an integral whose limits are -1 to 1, using an adaptive quadrature routine based on GK15, the 15 point Gauss-Kronrod rule. The points at which the integral will be evaluated by this routine are given in the course notes. Assume that the first step of the adaptive quadrature routine is to call GK15 to obtain an estimate of the integral and an estimate of the error over the whole interval (-1,1]. Assume that the adaptive quadrature routine will return when it obtains an error estimate that is less than the tolerance, which we will assume is greater than zero. Construct an integrand, which has a non-zero integral value on (-1,1], for which the adaptive quadrature routine will return with an integral approximation of zero and an error estimate of zero