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We present the twisted covariant form hierarchies (TCFH) of type IIA and IIB10-dimensional supergravities and show that all form bilinears ofsupersymmetric backgrounds satisfy the conformal Killing-Yano equation withrespect to a TCFH connection. We also compute the Killing-St\"ackel,Killing-Yano and closed conformal Killing-Yano tensors of all sphericallysymmetric type II brane backgrounds and demonstrate that the geodesic flow onthese solutions is completely integrable by giving all independent charges ininvolution. We then identify all form bilinears of common sector and D-branebackgrounds which generate hidden symmetries for particle and string probeactions. We also explore the question on whether charges constructed from formbilinears are sufficient to prove the integrability of probes on supersymmetricbackgrounds.

TCFHs, hidden symmetries and type II theories